Generalization of ⊕-Cofinitely Radical Supplemented Modules

In this study, we clarify 𝑚𝑔𝑠⊕−modules that are the generalization of ⊕−cofinitely radical supplemented modules and look at some of their basic characteristics. Additionally, we determine the prerequisites for the factor module of an arbitrary 𝑚𝑔𝑠⊕−module to be a 𝑚𝑔𝑠⊕−module and characterized semiperfect rings with the aid of this module.