Weakly G-Supplemented Modules

Celil Nebiyev, Hasan Hüseyin Ökten

Abstract

In this work, we define weakly g-supplemented modules and cofinitely weak g-supplemented modules. We investigate some properties of these modules. We show that the finite sum of weakly g-supplemented modules is weakly g-supplemented, an arbitrary sum of cofinitely weak gsupplemented modules is cofinitely weak g-supplemented. We also define g-semilocal modules and give some equivalencies for weakly g-supplemented, cofinitely weak g-supplemented and g-semilocal modules.

Keywords

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

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