(Quasi-)‎ injective extending gamma modules

الملخص EN

In this paper we introduce and study the concept of injective (Quasi-injective) extending gamma modules as a generalization of injective (Quasi-injective) gamma modules.

An R_Γ-module E is called injective (Quasi-injective) extending gamma modules if each proper R_Γ-submodule in E is essential in injective (Quasi-injective) R_Γ-submodule of E.

The concept of injective extending gamma modules lie between injective gamma modules and quasi-injective gamma modules.