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Strongly 0-Dimensional Rings

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dc.contributor.authorJayaram, C.
dc.contributor.authorOral, Kursat Hakan
dc.contributor.authorTekir, Unsal
dc.date.accessioned2026-06-27T13:23:25Z
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.en
dc.description.urihttps://doi.org/10.1080/00927872.2011.618857
dc.identifier.doi10.1080/00927872.2011.618857
dc.identifier.endpage2032
dc.identifier.issn0092-7872
dc.identifier.issue6
dc.identifier.startpage2026
dc.identifier.urihttps://hdl.handle.net/20.500.14981/52529
dc.identifier.volume41
dc.identifier.wos000320091300002
dc.language.isoeng
dc.publisherTAYLOR & FRANCIS INC
dc.relation.ispartofCOMMUNICATIONS IN ALGEBRA
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.subjectMathematics
dc.titleStrongly 0-Dimensional Rings
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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