MMN-2586

In this work, g-radical supplemented modules are defined which generalize g-supplemented modules. Some properties of g-radical supplemented modules are investigated. It is proved that the finite sum of g-radical supplemented modules is g-radical supplemented. It is also proved that every factor module and every homomorphic image of a g-radical supplemented module is g-radical supplemented. Let R be a ring. Then R is g-radical supplemented if and only if every finitely generated R-module is g-radical supplemented. In the end of this work, it is given two examples for g- radical supplemented modules seperating with g-supplemented modules

Vol. 20 (2019), No. 1, pp. 345-352

DOI: 10.18514/MMN.2019.2586

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