Product of graded submodules

Authors

AMEER JABER

DOI

10.3906/mat-1002-171

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

First Page

29

Last Page

39

Recommended Citation

JABER, AMEER (2012) "Product of graded submodules," Turkish Journal of Mathematics: Vol. 36: No. 1, Article 2. https://doi.org/10.3906/mat-1002-171
Available at: https://journals.tubitak.gov.tr/math/vol36/iss1/2