module. In this paper, we introduce several results concerning graded semiprime submodules. And we introduce the concept of graded semi-radical of graded submodule in graded module and give a number of its properties.
Abstract
Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce several results concerning graded semiprime submodules. And we introduce the concept of graded semi-radical of graded submodule in graded module and give a number of its properties.