Publication:
CHARACTERIZATION THEOREMS OF S-ARTINIAN MODULES

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dc.contributor.authorsOzen, Mehmet; Naji, OsamaA; Tekir, Unsal; Shum, Kar Ping
dc.date.accessioned2022-03-12T22:57:40Z
dc.date.accessioned2026-01-11T17:59:35Z
dc.date.available2022-03-12T22:57:40Z
dc.date.issued2021
dc.description.abstractA module X over a commutative ring A is called S-Artinian, where S is a given multiplicatively closed subset of A, if every descending chain of sub-modules of X is S-stationary. Using this concept, we give many examples, properties and S-versions of several different known results. Also, we characterize S-Artinian in terms of several modules and rings. For instance, X is S-Artinian if and only if every factor module X/Y is a finitely S-cogenerated A-module.
dc.identifier.doi10.7546/CRABS.2021.04.03
dc.identifier.issn1310-1331
dc.identifier.urihttps://hdl.handle.net/11424/237079
dc.identifier.wosWOS:000655273700003
dc.language.isoeng
dc.publisherPUBL HOUSE BULGARIAN ACAD SCI
dc.relation.ispartofCOMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectArtinian rings
dc.subjectfinitely cogenerated rings
dc.subjectS-Artinian rings
dc.subjectfinitely S-cogenerated rings
dc.subjectS-Artinian modules
dc.subjectfinitely S-cogenerated modules
dc.titleCHARACTERIZATION THEOREMS OF S-ARTINIAN MODULES
dc.typearticle
dspace.entity.typePublication
oaire.citation.endPage505
oaire.citation.issue4
oaire.citation.startPage496
oaire.citation.titleCOMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
oaire.citation.volume74

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