- Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 15 Issue: 1
- Some Properties of Amply Weak Essential Supplemented Modules
Some Properties of Amply Weak Essential Supplemented Modules
Authors : Berna Koşar
Pages : 387-393
Doi:10.18185/erzifbed.883893
View : 7 | Download : 5
Publication Date : 2022-03-27
Article Type : Research
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