Publication:
Strongly 0-Dimensional Rings

dc.contributor.authorTEKİR, ÜNSAL
dc.contributor.authorsJayaram, C.; Oral, Kursat Hakan; Tekir, Unsal
dc.date.accessioned2022-03-12T18:10:10Z
dc.date.accessioned2026-01-11T19:14:37Z
dc.date.available2022-03-12T18:10:10Z
dc.date.issued2013
dc.description.abstractA commutative ring R with identity is called a strongly 0-dimensional ring if whenever a prime ideal P of R, contains the intersection of any family of ideals, then P contains one of the ideals of the family. In this article, we establish several equivalent conditions for a commutative ring R with identity to be a strongly 0-dimensional ring. We also characterize Artinian rings in terms of strongly 0-dimensional rings.
dc.identifier.doi10.1080/00927872.2011.618857
dc.identifier.issn0092-7872
dc.identifier.urihttps://hdl.handle.net/11424/231359
dc.identifier.wosWOS:000320091300002
dc.language.isoeng
dc.publisherTAYLOR & FRANCIS INC
dc.relation.ispartofCOMMUNICATIONS IN ALGEBRA
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectCompactly packed rings
dc.subjectRegular rings
dc.subjectQ-rings
dc.subjectStrongly prime ideals
dc.subjectStrongly 0-dimensional rings
dc.subjectPrimary 13A15
dc.subjectSecondary 13A99
dc.subjectCOMMUTATIVE RINGS
dc.subjectPRIME IDEALS
dc.subjectPROPERTY
dc.titleStrongly 0-Dimensional Rings
dc.typearticle
dspace.entity.typePublication
oaire.citation.endPage2032
oaire.citation.issue6
oaire.citation.startPage2026
oaire.citation.titleCOMMUNICATIONS IN ALGEBRA
oaire.citation.volume41

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