A VARIATION OF δ-LIFTING AND δ-SUPPLEMENTED MODULES WITH RESPECT TO AN EQUIVALENCE RELATION

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dc.contributor.authorSözen, Esra Öztürk
dc.date.accessioned2025-03-23T19:17:05Z
dc.date.available2025-03-23T19:17:05Z
dc.date.issued2022
dc.departmentSinop Üniversitesi
dc.description.abstractIn this paper we introduce Goldie∗-δ-supplemented modules as follows. A module M is called Goldie∗-δ-supplemented (briefly, G∗δ-supplemented) if there exists a δ-supplement T of M for every submodule A of M such that Aβδ∗T. We say that a module M is called Goldie∗-δ-lifting (briefly, G∗δ-lifting) if there exists a direct summand D of M for every submodule A of M such that Aβδ∗D. Note that the last concept given in [4] as a δ-H-supplemented module. We present fundamental properties of these modules. We indicate that these modules lie between δ-lifting and δ-supplemented modules. Also we prove that our modules coincide with some variations of δ-supplemented modules for δ-semiperfect modules. © 2022 Yazd University.
dc.identifier.doi10.29252/as.2021.2334
dc.identifier.endpage80
dc.identifier.issn2423-3447
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85124670063
dc.identifier.scopusqualityQ4
dc.identifier.startpage69
dc.identifier.urihttps://doi.org/10.29252/as.2021.2334
dc.identifier.urihttps://hdl.handle.net/11486/4270
dc.identifier.volume9
dc.indekslendigikaynakScopus
dc.institutionauthorSözen, Esra Öztürk
dc.language.isoen
dc.publisherYazd University
dc.relation.ispartofAlgebraic Structures and their Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20250323
dc.subjectGoldie
dc.subjectδ-lifting module
dc.subjectδ-supplemented module<sup>∗</sup>-δ-supplemented module
dc.titleA VARIATION OF δ-LIFTING AND δ-SUPPLEMENTED MODULES WITH RESPECT TO AN EQUIVALENCE RELATION
dc.typeArticle

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