On ?-submodules and locally torsion free modules

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dc.contributor.authorErbay, Muhammet Ali
dc.contributor.authorKoç, Suat
dc.contributor.authorMahdou, Najib
dc.contributor.authorTekir, Ünsal
dc.date.accessioned2025-05-10T15:22:02Z
dc.date.issued2024
dc.departmentİstanbul Medeniyet Üniversitesi
dc.description.abstractAim of the present paper is to study ?-submodules of modules over commutative rings. Let M be a nonzero unital module over a commutative ring Ft having an identity 1 ? 0. A proper submodule TV of M is said to be a X-submodule if whenever am ? N for some a ? R and m? M, then ann(a) + (N : m) - R. Besides giving fundemantal properties of this new class of submodules, we characterize some important classes of rings and modules such as weak regular modules, von Neumann regular rings, locally torsion free modules, divisible modules, simple and torsion free modules in terms of our new concept. © 2024 Jangjeon Research Institute for Mathematical Sciences and Physics. All rights reserved.
dc.identifier.doi10.17777/pjms2024.27.2.321
dc.identifier.endpage333
dc.identifier.issn1598-7264
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85197945130
dc.identifier.scopusqualityQ3
dc.identifier.startpage321
dc.identifier.urihttps://doi.org/10.17777/pjms2024.27.2.321
dc.identifier.urihttps://hdl.handle.net/20.500.14730/6275
dc.identifier.volume27
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherJangjeon Research Institute for Mathematical Sciences and Physics
dc.relation.ispartofProceedings of the Jangjeon Mathematical Society
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20250302
dc.subjectlocally torsion free module; ?-submodule
dc.titleOn ?-submodules and locally torsion free modules
dc.typeArticle

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