DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kang, BG | - |
dc.contributor.author | Oh, DY | - |
dc.date.accessioned | 2016-04-01T02:59:57Z | - |
dc.date.available | 2016-04-01T02:59:57Z | - |
dc.date.created | 2010-04-28 | - |
dc.date.issued | 2009-01 | - |
dc.identifier.issn | 1435-9855 | - |
dc.identifier.other | 2009-OAK-0000020941 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/26110 | - |
dc.description.abstract | Let R be an integral domain, X be a set of indeterminates over R, and R[[1X]](3) be the full ring of formal power series in X over R. We show that the Picard group of R[[X]](3) is isomorphic to the Picard group of R. An integral domain is called a pi-domain if every principal ideal is a product of prime ideals. An integral domain is a pi-domain if and only if it is a Krull domain that is locally a unique factorization domain. We show that R[[X]](3) is a pi-domain if R[[X-1,...,X-n]] is a pi-domain for every n >= 1. In particular, R[[X]](3) is a pi-domain if R is a Noetherian regular domain. We extend these results to rings with zero-divisors. A commutative ring R with identity is called a pi-ring if every principal ideal is a product of prime ideals. We show that R[[X]](3) is a pi-ring if R is a Noetherian regular ring. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | EUROPEAN MATHEMATICAL SOC | - |
dc.relation.isPartOf | JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | - |
dc.subject | Krull domain | - |
dc.subject | pi-domain | - |
dc.subject | unique factorization domain | - |
dc.subject | formal power series ring | - |
dc.subject | invertible ideal | - |
dc.subject | class group | - |
dc.subject | Picard group | - |
dc.subject | UNIQUE FACTORIZATION | - |
dc.subject | KRULL DOMAINS | - |
dc.title | Formal power series rings over a pi-domain | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.author.google | Kang, BG | - |
dc.author.google | Oh, DY | - |
dc.relation.volume | 11 | - |
dc.relation.issue | 6 | - |
dc.relation.startpage | 1429 | - |
dc.relation.lastpage | 1443 | - |
dc.contributor.id | 10053709 | - |
dc.relation.journal | JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, v.11, no.6, pp.1429 - 1443 | - |
dc.identifier.wosid | 000271491800010 | - |
dc.date.tcdate | 2019-02-01 | - |
dc.citation.endPage | 1443 | - |
dc.citation.number | 6 | - |
dc.citation.startPage | 1429 | - |
dc.citation.title | JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 11 | - |
dc.contributor.affiliatedAuthor | Kang, BG | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 2 | - |
dc.type.docType | Article | - |
dc.subject.keywordAuthor | Krull domain | - |
dc.subject.keywordAuthor | pi-domain | - |
dc.subject.keywordAuthor | unique factorization domain | - |
dc.subject.keywordAuthor | formal power series ring | - |
dc.subject.keywordAuthor | invertible ideal | - |
dc.subject.keywordAuthor | class group | - |
dc.subject.keywordAuthor | Picard group | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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