Browsing by Author "Gungor, Serpil"

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    ⊕-co-coatomically supplemented and co-coatomically semiperfect modules
    (HACETTEPE UNIV FAC SCI, 2018) Rafail Alizade; Serpil Gungor; Alizade, Rafail; Gungor, Serpil
    In this paper it is shown that a factor module of an circle plus-co-coatomically supplemented module is not in general circle plus-co-coatomically supplemented. If M is circle plus-co-coatomically supplemented and U is a fully invariant submodule of M then M/U is circle plus-co-coatomically supplemented. A ring R is left perfect if and only if R-(N) is an circle plus-co-coatomically supplemented R-module. A projective module M is co-coatomically semiperfect if and only if M is circle plus-co-coatomically supplemented. A ring is semiperfect if and only if every finitely generated free R-module is co-coatomically semiperfect.