Abstract
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 module is called injective (Quasi-injective) extending gamma modules if each proper submodule in is essential in injective (Quasi-injective) submodule of . The concept of injective extending gamma modules lie between injective gamma modules and quasi-injective gamma modules.
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