4 papers · 1 filter
On Graded s-Prime Submodules
Hicham Saber, Tariq Alraqad, Rashid Abu-Dawwas
In this article, we introduce the concepts of graded -prime submodules which is a generalization of graded prime submodules. We study the behavior of this notion with respect to…
Graded -Submodules
Tariq Alraqad, Hicham Saber, Rashid Abu-Dawwas
Let be a group with identity and a commutative -graded ring with a nonzero unity . In this article, we introduce the concepts of graded -submodules and graded…
Intersection Graph of Graded ideals
T. Alraqad, H. Saber, R. Abu-Dawwas
In this article we introduce and study the intersection graph of graded ideals of graded rings. The intersection graph of graded ideals of a graded ring is a simple gra…
Graded Rings
Tariq Alraqad, Hicham Saber, Rashid Abu-Dawwas
The main goal of this article is to introduce the concept of graded rings. This concept is an extension of the notion of rings. Let be a group and be a grad…