Notes on the graded prime submodules

Abstract

Let G be a monoid with identity e, and let R be a G-graded commutative ring. Here we study the graded prime submodules of a graded R-module. While the bulk of this work is devoted to extending some results from prime submodules to graded prime submodules. A number of results concerning of these class of submodules are given. Mathematics Subject Classification: 13A02, 16W50