Journals / Turkish Journal of Mathematics / 2012 / Cilt: 36 - Sayı: 1
Product of graded submodules
- Pages
- 29–39
- DOI
- —
Abstract
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.
Özet
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.