A Research on the Generalizations of Modules Whose Submodules are Isomorphic to a Direct Summand

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dc.contributor.authorKarabacak, Fatih
dc.contributor.authorTaşdemir, Özgür
dc.date.accessioned2024-06-12T10:04:12Z
dc.date.available2024-06-12T10:04:12Z
dc.date.issued2024
dc.departmentTrakya Üniversitesien_US
dc.description.abstractA module M is called virtually semisimple (resp. virtually extending) if every submodule (resp. complement submodule) of M is isomorphic to a direct summand of M. It is known that virtually extending modules is a generalization of virtually semisimple modules. In this paper, the relationships between virtually extending modules and other generalizations of virtually semisimple modules are examined. Moreover, we introduce a new generalization of virtually semisimple modules; namely CH modules: We say a module M is a c-epi-retractable (or briefly CH module) if any complement submodule of M is a homomorphic image of M. CH modules contains the class of virtually extending modules and the class of epi-retractable modules. We also give some basic properties of this new module class.en_US
dc.identifier.doi10.18185/erzifbed.1371910
dc.identifier.endpage278en_US
dc.identifier.issn1307-9085
dc.identifier.issn2149-4584
dc.identifier.issue1en_US
dc.identifier.startpage268en_US
dc.identifier.trdizinid1231176en_US]
dc.identifier.urihttps://doi.org/10.18185/erzifbed.1371910
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/1231176
dc.identifier.urihttps://hdl.handle.net/20.500.14551/12696
dc.identifier.volume17en_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.relation.ispartofErzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisien_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleA Research on the Generalizations of Modules Whose Submodules are Isomorphic to a Direct Summanden_US
dc.typeArticleen_US

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