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Cited 13 time in webofscience Cited 14 time in scopus
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Noetherian domains which admit only finitely many star operations

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dc.contributor.authorHouston, Evan-
dc.contributor.authorMimouni, Abdeslam-
dc.contributor.authorPark, Mi Hee-
dc.date.available2019-05-29T05:39:31Z-
dc.date.issued2012-09-
dc.identifier.issn0021-8693-
dc.identifier.issn1090-266X-
dc.identifier.urihttps://scholarworks.bwise.kr/cau/handle/2019.sw.cau/20165-
dc.description.abstractIn this paper, we study Noetherian domains which admit only finitely many star operations. We show that such domains (which are not fields) must have Krull dimension one, and we effectively reduce to the local case. For a one-dimensional local Noetherian domain (R, M), M nonprincipal, M-1 is an overring of R, and M-1 /M is naturally an R/M-vector space. We succeed in counting the number of star operations on R in several cases when dim(R/M) M-1 /M = 3. (C) 2012 Elsevier Inc. All rights reserved.-
dc.format.extent16-
dc.language영어-
dc.language.isoENG-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.titleNoetherian domains which admit only finitely many star operations-
dc.typeArticle-
dc.identifier.doi10.1016/j.jalgebra.2012.05.015-
dc.identifier.bibliographicCitationJOURNAL OF ALGEBRA, v.366, pp 78 - 93-
dc.description.isOpenAccessN-
dc.identifier.wosid000306298000005-
dc.identifier.scopusid2-s2.0-84861991765-
dc.citation.endPage93-
dc.citation.startPage78-
dc.citation.titleJOURNAL OF ALGEBRA-
dc.citation.volume366-
dc.type.docTypeArticle-
dc.publisher.location미국-
dc.subject.keywordAuthorNoetherian domain-
dc.subject.keywordAuthorStar operation-
dc.subject.keywordAuthorDivisorial ideal-
dc.subject.keywordPlusINTEGRAL-DOMAINS-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.description.journalRegisteredClasssci-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
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