Generalization of ⊕-Cofinitely Radical Supplemented Modules

Abstract

In this paper, we define mgs^⊕ modules which generalization of ⊕-cofinitely radical supplemented modules and examine some fundamental properties of this module. We showed under which condition the factor module of an arbitrary mgs^⊕ module is a mgs^⊕ module. We characterized semi-perfect rings with the help of this module.