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KANG, BYUNG GYUN (강병균)
Dept of Mathematics(수학과)
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POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||POWERSERIES RINGS:4||ZERO DIVISORS:3||Binary codes:2||KRULL DIMENSION:2||Krull domain:2||upper bound:2||s linear programming bound:2||PRUFER DOMAINS:2||PvMD:2||Delsarte&apos:2||MULTIPLICATION DOMAINS:2||RINGS:2||power series ring:2||DOMAINS:2||binary constantweight codes:2||Power series ring:1||Valuation ring:1||pidomain:1||UNIQUE FACTORIZATION:1||polynomial ring:1||regular local ring:1||PSEUDOVALUATION DOMAINS:1||tdimension:1||DIVISORIAL:1||IDEAL:1||POLYNOMIAL RINGS:1||Commutative ring theory:1||D[X](Nv):1||Prufer domain:1||antiArchimedean domain:1||tsplitting set:1||(t)Globalized pseudovaluation domain:1||Picard group:1||localization:1||IDEALS:1||DIMENSION:1||unique factorization domain:1||valuation domain:1||PRIME IDEALS:1||Noetherian ring:1||UMTdomain:1||class group:1||KRULL DOMAINS:1||GRADED INTEGRAL DOMAIN:1||CONSTRUCTION:1||tSFTring:1||tSFTideal:1||D + DS[Gamma*]:1||SFT Prufer domain:1||formal power series ring:1||TSPLITTING SETS:1||Torsionfree grading monoid Gamma with Gamma boolean ANDGamma = {0}:1||R(X):1||KRULL RINGS:1||Prufer vmultiplication ring:1||prime ideal:1||INTEGRAL CLOSURE:1||invertible ideal:1||INTEGRALDOMAINS:1||Krulldimension:1||FORM:1||
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