Some Properties of Amply Weak Essential Supplemented Modules

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Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Volume:15 Issue:1
Some Properties of Amply Weak Essential Supplemented Modules

Some Properties of Amply Weak Essential Supplemented Modules

Pages : 387-393

View : 15 | Download : 11

Publication Date : 2022-03-27

Article Type : Research Paper

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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