Star operations on overrings of Noetherian domains
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Houston, Evan | - |
dc.contributor.author | Mimouni, Abdeslam | - |
dc.contributor.author | Park, Mi Hee | - |
dc.date.available | 2019-03-08T13:39:31Z | - |
dc.date.issued | 2016-02 | - |
dc.identifier.issn | 0022-4049 | - |
dc.identifier.issn | 1873-1376 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/7285 | - |
dc.description.abstract | Let R be a Noetherian domain, and let Star(R) denote the set of star operations on R. Call R star regular if IStar(T)vertical bar <=vertical bar Star(R) I for each overring T of R. In the case where Star(R) is finite we show that star regularity becomes a local property, and, further assuming that R is one-dimensional and local with infinite residue field, we prove that R is star regular. We also study the question of whether finiteness of Star(T) for each proper overring of a one-dimensional Noetherian domain R implies finiteness of Star(R). (C) 2015 Elsevier B.V. All rights reserved. | - |
dc.format.extent | 12 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.title | Star operations on overrings of Noetherian domains | - |
dc.type | Article | - |
dc.identifier.doi | 10.1016/j.jpaa.2015.07.018 | - |
dc.identifier.bibliographicCitation | JOURNAL OF PURE AND APPLIED ALGEBRA, v.220, no.2, pp 810 - 821 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.wosid | 000362609400016 | - |
dc.identifier.scopusid | 2-s2.0-84942192168 | - |
dc.citation.endPage | 821 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 810 | - |
dc.citation.title | JOURNAL OF PURE AND APPLIED ALGEBRA | - |
dc.citation.volume | 220 | - |
dc.type.docType | Article | - |
dc.publisher.location | 네델란드 | - |
dc.subject.keywordPlus | INTEGRAL-DOMAINS | - |
dc.subject.keywordPlus | ADMIT | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | sci | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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