DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chang, Gyu Whan | - |
dc.contributor.author | Kang, Byung Gyun | - |
dc.date.accessioned | 2021-06-01T04:59:13Z | - |
dc.date.available | 2021-06-01T04:59:13Z | - |
dc.date.created | 2020-08-18 | - |
dc.date.issued | 2020-08 | - |
dc.identifier.issn | 0092-7872 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/105581 | - |
dc.description.abstract | Let R be a commutative ring with identity and X-r(1) (R) the set of regular height one prime ideals of R. We will show that R is a Krull ring if and only if each regular prime ideal of R contains a t-invertible prime ideal, if and only if (1) R - boolean AND(P is an element of Xr1) ((R)) R-[P[ and it has finite character and (2) (R-[P], [P]R-[P]) is a rank one DVR for each P is an element of X-r(1) (R). It is also shown that {(R-[P], [P]R-[P]) P is an element of X-r(1) (R)} is the unique defining family for a Krull ring R. | - |
dc.language | English | - |
dc.publisher | TAYLOR & FRANCIS INC | - |
dc.relation.isPartOf | COMMUNICATIONS IN ALGEBRA | - |
dc.title | On Krull rings with zero divisors | - |
dc.type | Article | - |
dc.identifier.doi | 10.1080/00927872.2020.1797071 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | COMMUNICATIONS IN ALGEBRA, v.49, no.1, pp.207 - 215 | - |
dc.identifier.wosid | 000608426800001 | - |
dc.citation.endPage | 215 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 207 | - |
dc.citation.title | COMMUNICATIONS IN ALGEBRA | - |
dc.citation.volume | 49 | - |
dc.contributor.affiliatedAuthor | Kang, Byung Gyun | - |
dc.identifier.scopusid | 2-s2.0-85089096883 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article | - |
dc.subject.keywordAuthor | Krull ring | - |
dc.subject.keywordAuthor | rank one DVR | - |
dc.subject.keywordAuthor | t-operation | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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