On finitely g-supplemented modules

Nebiyev, Celil and Ökten, Hasan Hüseyin (2024) On finitely g-supplemented modules. Miskolc Mathematical Notes, 25 (2). pp. 939-942. ISSN 1787-2413

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Abstract

In this work, some properties of finitely g-supplemented modules are investigated. Let M be a finitely g-supplemented R−module and N be a finitely generated or small submodule of M. Then M∕N is finitely g-supplemented. Let f : M→N be an R-module epimomorphism with small kernel. If M is finitely g-supplemented, then N is also finitely g-supplemented. Let M be a finitely g-supplemented module, RadgM ≤ U ≤ M and U be finitely generated. Then U∕RadgM is a direct summand of M∕RadgM.

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