Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-
module. A proper graded submodule S of M is called a graded semiprime submodule if …

Let G be an abelian group with identity e. Let R be a G-graded commutative ring with
identity, M a graded R-module and S⊆ h (R) a multiplicatively closed subset of R. In this …

Khaldoun Al-Zoubi and Rweili Alkhalaf abstract: Let G be a group with identity e. Let R be a
G-graded commutative ring and M a graded R-module. In this paper, we introduce the …

Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-
module. In this paper, we introduce the concept of graded primary-like submodules as a new …

Let $\Gamma $ be a group, $\Re $ be a $\Gamma $-graded commutative ring with unity $1 $
and $\Im $ a graded $\Re $-module. In this paper, we introduce the concept of graded …

Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-
module. A proper graded submodule N of M is called a graded semiprime submodule if …

Let $ G $ be a group. A ring $ R $ is called a graded ring (or $ G $-graded ring) if there exist
additive subgroups $ R_ {\alpha} $ of $ R $ indexed by the elements $\alpha\in G $ such that …

Let G be a group with identity e, R a commutative G-graded ring with unity 1 and M a G-
graded R-module. In this article, graded gw-prime submodules of M are defined. This class …