Let D be an abelian group. By considering the notion multiplication of D-graded modules (see [7]) over a commutative D-graded ring with unity, we introduce the notion of product of two D-graded submodules which we use to characterize the D-graded prime submodules of a multiplication D-graded module. Finally we proved a graded version of Nakayama lemma for multiplication D-graded modules.
Field : Fen Bilimleri ve Matematik
Journal Type : Uluslararası
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