Some Properties of Amply Weak Essential Supplemented Modules

Year 2022, Volume: 15 Issue: 1, 387 - 393, 27.03.2022

Berna Koşar

https://doi.org/10.18185/erzifbed.883893

Abstract

In this work, some properties of amply weak essential supplemented modules are investigated. Let M be a projective and weakly essential supplemented module. Then every finitely M-generated module is amply weak essential supplemented. Let R be any ring. Then R is weakly essential supplemented if and only if every finitely generated R-module is amply weak essential supplemented. Let M be an amply weak essential supplemented module. Then every e-supplement submodule in M is amply weak essential supplemented.

Keywords

Essential Submodules, Small Submodules, Supplemented Modules, Essential Supplemented Modules

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