Product of graded submodules

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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.

Anahtar Kelimeler:

D-graded Rings, D-graded Modules, D-graded Submodules

Product of graded submodules

Keywords:

D-graded Rings, D-graded Modules, D-graded Submodules,

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Department of Mathematics The Hashemite University Zarqa 13115, JORDAN e-mail: ameerj@hu.edu.jo