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MMN-4409

On finitely g-supplemented modules

Celil Nebiyev; Hasan Hüseyin Ökten;

Abstract

In this work, some properties of finitely g-supplemented modules are investigated. Let M be a finitely g-supplemented Rmodule and N be a finitely generated or small submodule of M. Then MN is finitely g-supplemented. Let f : MN 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 URadgM is a direct summand of MRadgM.


Vol. 25 (2024), No. 2, pp. 965-969
DOI: https://doi.org/10.18514/MMN.2024.4409


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