Some Variations of δ-Supplemented Modules with Regard to a Hereditary Torsion Theory

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dc.contributor.authorTian, Jian
dc.contributor.authorSozen, Esra Ozturk
dc.contributor.authorHamzekolaee, Ali Reza Moniri
dc.date.accessioned2025-03-23T19:30:50Z
dc.date.available2025-03-23T19:30:50Z
dc.date.issued2023
dc.departmentSinop Üniversitesi
dc.description.abstractIn present work, we describe and investigate torsion theoretic versions of delta-supplemented modules via a hereditary torsion theory tau. With this aim, first, we define delta(tau)-small submodules. On this basis, the concepts of delta tau-lifting modules, delta(tau)-supplemented modules, and amply delta(tau)-supplemented modules and their fundamental properties are given, respectively. Furthermore, we present delta(tau)-semiperfect modules and give a characterization for them via (amply) delta(tau)-supplemented modules. Even we supply binary relations between these new module classes.
dc.description.sponsorshipThis work was supported by the Software Engineering Institute of Guangzhou, 510990 of P. R. China, under the Grant/Award number (ST202101). [510990, ST202101]; Software Engineering Institute of Guangzhou
dc.description.sponsorshipThis work was supported by the Software Engineering Institute of Guangzhou, 510990 of P. R. China, under the Grant/Award number (ST202101).
dc.identifier.doi10.1155/2023/9968793
dc.identifier.issn2314-4629
dc.identifier.issn2314-4785
dc.identifier.scopus2-s2.0-85175434405
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1155/2023/9968793
dc.identifier.urihttps://hdl.handle.net/11486/5176
dc.identifier.volume2023
dc.identifier.wosWOS:001088812600001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofJournal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250323
dc.subjectLifting Modules
dc.subjectSemiperfect
dc.titleSome Variations of δ-Supplemented Modules with Regard to a Hereditary Torsion Theory
dc.typeArticle

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