Abstract:

Let G be a group with identity e. Let wp be a G-graded commutative ring and Im a graded wp-module. In this paper, we will introduce the notion of graded co-multiplication-like modules over commutative graded rings and we obtain some related results. We say that a graded wp-module Im is a graded co-multiplication-like module if for each proper graded submodule U of Im, Ann_{wp}(Im)\subset Ann_{wp}(U).