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On modules satisfying S-dccr condition

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dc.contributor.authorKOÇ, SUAT
dc.contributor.authorTEKİR, ÜNSAL
dc.contributor.authorsOzen, Mehmet; Naji, Osama A.; Tekir, Unsal; Koc, Suat
dc.date.accessioned2022-03-12T22:55:55Z
dc.date.accessioned2026-01-11T19:26:39Z
dc.date.available2022-03-12T22:55:55Z
dc.description.abstractIn this paper, we introduce a newclass ofmodules satisfying S-dccr (S-dccr*) condition which is a generalization of S-artinian modules. Let A be a commutative ring with 0 not equal 1 and X a unital A-module. Suppose that S subset of A is amultiplicatively closed subset. X is said to satisfy S-dccr ( S-dccr*) condition if for each finitely generated (principal) ideal I of A and a submodule Y of X, the descending chain {(IY)-Y-i}(i is an element of N) is S-stationary. Many examples and properties of modules satisfying S-dccr ( S-dccr*) condition are given. Furthermore, we characterizemodules satisfying dccr (dccr*) condition in terms of some known class of rings and modules. Also, we give Nakayama's Lemma for modules satisfying S-dccr condition.
dc.identifier.doi10.1007/s13366-021-00609-9
dc.identifier.eissn2191-0383
dc.identifier.issn0138-4821
dc.identifier.urihttps://hdl.handle.net/11424/236855
dc.identifier.wosWOS:000715637700001
dc.language.isoeng
dc.publisherSPRINGER HEIDELBERG
dc.relation.ispartofBEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectS-artinian
dc.subjectDccr condition
dc.subjectS-dccr condition
dc.subjectPRIME SUBMODULES
dc.titleOn modules satisfying S-dccr condition
dc.typearticle
dspace.entity.typePublication
oaire.citation.titleBEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY

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