SOME REMARKS ON Re-MULTIPLICATION MODULES OVER FIRST STRONGLY GRADED RINGS

Abstract

Let G be a group, R be a first strongly G - graded ring and M be a G - gradedR - module such that Me is a nonzero Re - torsion free Re - multiplication module. In this paper, we introduce several results concerning the Re - modules {Mg : g ∈ supp(R,G)}.