Semiprime RΓ-submodules of multiplication RΓ-modules

الملخص EN

Let R be a Γ-ring and G be an RΓ-module.

A proper RΓ-submodule S of G is said to be semiprime RΓ-submodule if for any ideal I of a Γ-ring R and for any RΓ-submodule A of G such that or which implies that .

The purpose of this paper is to introduce interesting results of semiprime RΓ-submodule of RΓ-module which represents a generalization of semiprime submodules.