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 will obtain some results concerning the graded comultiplication modules over a commutative graded ring.
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 the concept of graded P-compactly packed modules and we give a number of results concerning such graded modules. In fact, our objective is to investigate graded P-compactly packed modules and examine in particular when graded R-modules are P-compactly packed. Finally, we introduce the concept of graded finitely P-compactly packed modules and give a number of its properties.
Let be a group with identity and let be a -graded ring. In this paper, we introduce and study the concept of graded -ideals of . A proper graded ideal of is called a graded -ideal of if whenever where , then either or or . We introduce several results concerning --ideals. For example, we give a characterization of graded -ideals and their homogeneous components. Also, the relations between graded -ideals and others that already exist, namely, the graded prime ideals,...
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