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Locally torsion-free modules

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dc.contributor.authorTEKİR, ÜNSAL
dc.contributor.authorKOÇ, SUAT
dc.contributor.authorsJayaram C., Uǧurlu E. A., TEKİR Ü., KOÇ S.
dc.date.accessioned2023-03-02T07:44:48Z
dc.date.available2023-03-02T07:44:48Z
dc.date.issued2022-01-01
dc.description.abstract© 2023 World Scientific Publishing Company.Recall that a commutative ring R is a locally integral domain if its localization RP is an integral domain for each prime ideal P of R. Our aim in this paper is to extend the notion of locally integral domains to modules. Let R be a commutative ring with a unity and M a nonzero unital R-module. M is called a locally torsion-free module if the localization MP of M is a torsion-free RP-module for each prime ideal P of R. In addition to giving many properties of locally torsion-free modules, we use them to characterize Baer modules, torsion free modules, and von Neumann regular rings.
dc.identifier.citationJayaram C., Uǧurlu E. A., TEKİR Ü., KOÇ S., "Locally torsion-free modules", Journal of Algebra and its Applications, 2022
dc.identifier.doi10.1142/s0219498823501037
dc.identifier.issn0219-4988
dc.identifier.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85125046948&origin=inward
dc.identifier.urihttps://hdl.handle.net/11424/287066
dc.language.isoeng
dc.relation.ispartofJournal of Algebra and its Applications
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectMatematik
dc.subjectBilgisayar Bilimleri
dc.subjectTemel Bilimler
dc.subjectMathematics
dc.subjectComputer Science
dc.subjectNatural Sciences
dc.subjectTemel Bilimler (SCI)
dc.subjectMATEMATİK, UYGULAMALI
dc.subjectNatural Sciences (SCI)
dc.subjectMATHEMATICS
dc.subjectMATHEMATICS, APPLIED
dc.subjectAlgebra and Number Theory
dc.subjectPhysical Sciences
dc.subjectApplied Mathematics
dc.subjectBaer modules
dc.subjectBaer rings
dc.subjectlocally integral domains
dc.subjectlocally torsion-free modules
dc.subjectnormal modules
dc.subjectquasi-regular modules
dc.subjectquasi-regular rings
dc.subjecttorsion-free modules
dc.subjectvon Neumann regular modules
dc.subjectvon Neumann regular rings
dc.titleLocally torsion-free modules
dc.typearticle
dspace.entity.typePublication
local.avesis.id38531de0-89a5-4015-90ec-ebec9f40f19e
local.indexed.atSCOPUS
local.indexed.atWOS
relation.isAuthorOfPublication1e96b2de-de3a-4870-9639-778e4cb6badc
relation.isAuthorOfPublication57dc5867-a06e-42d4-b8f0-787ff572cabe
relation.isAuthorOfPublication.latestForDiscovery1e96b2de-de3a-4870-9639-778e4cb6badc

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