Let \Delta be an abelian group. By considering the notion multiplication of \Delta-graded modules (see ) 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.
\Delta-graded Rings, \Delta-graded Modules, \Delta-graded Submodules
"Product of graded submodules,"
Turkish Journal of Mathematics: Vol. 36:
1, Article 2.
Available at: https://journals.tubitak.gov.tr/math/vol36/iss1/2