DC Field | Value | Language |
---|---|---|
dc.contributor.author | Giau L.T.N. | - |
dc.contributor.author | Kang B.G. | - |
dc.contributor.author | Toan P.T. | - |
dc.date.accessioned | 2021-06-01T04:51:02Z | - |
dc.date.available | 2021-06-01T04:51:02Z | - |
dc.date.created | 2020-04-30 | - |
dc.date.issued | 2020-11 | - |
dc.identifier.issn | 0022-4049 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/105535 | - |
dc.description.abstract | One open problem in commutative algebra and field arithmetic posed by Jarden is whether the power series ring R[X] is a generalized Krull domain if R is a generalized Krull domain. Assuming R is a generalized Krull domain, Paran and Temkin proved that R[X] is a generalized Krull domain if and only if R[X] is a Krull domain. Hence, if R is a generalized Krull domain that is not a Krull domain, then R[X] is never a generalized Krull domain. In this paper, we show that the assumption R is a generalized Krull domain in Paran and Temkin's result can be dropped. In other words, R[X] is a generalized Krull domain if and only if R[X] is a Krull domain and hence if and only if R is a Krull domain. (C) 2020 Elsevier B.V. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ELSEVIER | - |
dc.relation.isPartOf | JOURNAL OF PURE AND APPLIED ALGEBRA | - |
dc.title | On the generalized Krull property in power series rings | - |
dc.type | Article | - |
dc.identifier.doi | 10.1016/j.jpaa.2020.106409 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | JOURNAL OF PURE AND APPLIED ALGEBRA, v.224, no.11 | - |
dc.identifier.wosid | 000537311800011 | - |
dc.citation.number | 11 | - |
dc.citation.title | JOURNAL OF PURE AND APPLIED ALGEBRA | - |
dc.citation.volume | 224 | - |
dc.contributor.affiliatedAuthor | Kang B.G. | - |
dc.identifier.scopusid | 2-s2.0-85083578643 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article | - |
dc.subject.keywordAuthor | Generalized Krull domain | - |
dc.subject.keywordAuthor | Krull domain | - |
dc.subject.keywordAuthor | Power series ring | - |
dc.subject.keywordAuthor | Valuation ring | - |
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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