Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1002-171
Keywords
\Delta-graded Rings, \Delta-graded Modules, \Delta-graded Submodules
First Page
29
Last Page
39
Recommended Citation
JABER, A (2012). Product of graded submodules. Turkish Journal of Mathematics 36 (1): 29-39. https://doi.org/10.3906/mat-1002-171
