Mathematics / Matematik

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Institution Author: search.filters.institutionAuthor.Alizade, RafailSubject: search.filters.subject.Cofinite submodule

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  • Article
    Citation - WoS: 23
    Citation - Scopus: 23
    Cofinitely Weak Supplemented Modules
    (Taylor and Francis Ltd., 2003) Alizade, Rafail; Büyükaşık, Engin
    We prove that a module M is cofinitely weak supplemented or briefly cws (i.e., every submodule N of M with M/N finitely generated, has a weak supplement) if and only if every maximal submodule has a weak supplement. If M is a cws-module then every M-generated module is a cws-module. Every module is cws if and only if the ring is semilocal. We study also modules, whose finitely generated submodules have weak supplements.