Product of graded submodules

Authors: AMEER JABER

Abstract: Let \Delta be an abelian group. By considering the notion multiplication of \Delta-graded modules (see [7]) over a commutative \Delta-graded ring with unity, we introduce the notion of product of two \Delta-graded submodules which we use to characterize the \Delta-graded prime submodules of a multiplication \Delta-graded module. Finally we proved a graded version of Nakayama lemma for multiplication \Delta-graded modules.

Keywords: \Delta-graded Rings, \Delta-graded Modules, \Delta-graded Submodules

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