eg-Radical Supplemented Modules

Year 2020, Volume: 3 Issue: 1, 37 - 41, 15.12.2020

Celil Nebiyev , Hasan Hüseyin Ökten

Abstract

In this work, R will denote an associative ring with unity and all module are unital left R-modules. Let M be an R-module. If every essential submodule of M has a g-radical supplement in M, then M is called an essential g-radical supplemented (or briefly eg-radical supplemented) module. In this work, some properties of these modules are investigated.

Keywords

Essential Submodules, g-Small Submodules, Generalized Radical, g-Supplemented Modules

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