DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chang, GW | - |
dc.contributor.author | Kang, BG | - |
dc.date.accessioned | 2016-03-31T08:47:23Z | - |
dc.date.available | 2016-03-31T08:47:23Z | - |
dc.date.created | 2013-02-22 | - |
dc.date.issued | 2011-01 | - |
dc.identifier.issn | 0092-7872 | - |
dc.identifier.other | 2012-OAK-0000026523 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/16053 | - |
dc.description.abstract | A subring A of a Prufer domain B is a globalized pseudo-valuation domain (GPVD) if (i) A hooked right arrow B is a unibranched extension and (ii) there exists a nonzero radical ideal I, common to A and B such that each prime ideal of A (resp., B) containing I is maximal in A (resp., B). Let D be an integral domain, X be an indeterminate over D, c(f) be the ideal of D generated by the coefficients of a polynomial f is an element of D[X], N = {f is an element of D[X] vertical bar c(f) = D}, and N-v = {f is an element of D[X] vertical bar c(f)(-1) = D }. In this article, we study when the Nagata ring D[X](N) (more generally, D[X](Nv)) is a GPVD. To do this, we first use the so-called t-operation to introduce the notion of t-globalized pseudo-valuation domains (t-GPVDs). We then prove that D[X](Nv) is a GPVD if and only if D is a t-GPVD and D[X](Nv) has Prufer integral closure, if and only if D[X] is a t-GPVD, if and only if each overring of D[X](Nv) is a GPVD. As a corollary, we have that D[X](N) is a GPVD if and only if D is a GPVD and D has Prufer integral closure. We also give several examples of integral domains D such that D[X](Nv) is a GPVD. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | TAYLOR & FRANCIS INC | - |
dc.relation.isPartOf | COMMUNICATIONS IN ALGEBRA | - |
dc.subject | D[X](Nv) | - |
dc.subject | (t-)Globalized pseudo-valuation domain | - |
dc.subject | Prufer domain | - |
dc.subject | PvMD | - |
dc.subject | UMT-domain | - |
dc.subject | PSEUDO-VALUATION DOMAINS | - |
dc.subject | MULTIPLICATION DOMAINS | - |
dc.subject | FORM | - |
dc.title | PRUFER-LIKE DOMAINS AND THE NAGATA RING OF INTEGRAL DOMAINS | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.1080/00927872.2010.522640 | - |
dc.author.google | Chang, GW | - |
dc.author.google | Kang, BG | - |
dc.relation.volume | 39 | - |
dc.relation.issue | 11 | - |
dc.relation.startpage | 4246 | - |
dc.relation.lastpage | 4258 | - |
dc.contributor.id | 10053709 | - |
dc.relation.journal | COMMUNICATIONS IN ALGEBRA | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | COMMUNICATIONS IN ALGEBRA, v.39, no.11, pp.4246 - 4258 | - |
dc.identifier.wosid | 000299732500024 | - |
dc.date.tcdate | 2019-01-01 | - |
dc.citation.endPage | 4258 | - |
dc.citation.number | 11 | - |
dc.citation.startPage | 4246 | - |
dc.citation.title | COMMUNICATIONS IN ALGEBRA | - |
dc.citation.volume | 39 | - |
dc.contributor.affiliatedAuthor | Kang, BG | - |
dc.identifier.scopusid | 2-s2.0-84857948468 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 1 | - |
dc.description.scptc | 1 | * |
dc.date.scptcdate | 2018-05-121 | * |
dc.type.docType | Article | - |
dc.subject.keywordAuthor | D[X](Nv) | - |
dc.subject.keywordAuthor | (t-)Globalized pseudo-valuation domain | - |
dc.subject.keywordAuthor | Prufer domain | - |
dc.subject.keywordAuthor | PvMD | - |
dc.subject.keywordAuthor | UMT-domain | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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