2 citations · 4 across the 16 of their papers we have counts for
18 papers
Graded Classical Weakly Prime Submodules over Non-Commutative Graded Rings
Jebrel M. Habeb, Rashid Abu-Dawwas
The goal of this article is to propose and examine the notion of graded classical weakly prime submodules over non-commutative graded rings which is a generalization of the concept…
Graded Almost Prime Ideals over Non-Commutative Graded Rings
Jenan Shtayat, Rashid Abu-Dawwas, Ghadeer Bani Issa
The purpose of this article is to define and examine graded almost prime ideals over a non-commutative graded ring, and consider some cases where all graded right ideals of a non-c…
Generalizations of Graded -Primary Ideals
Tamem Al-Shorman, Malik Bataineh, Rashid Abu-Dawwas
The goal of this article is to present the graded weakly -primary ideals and -weakly -primary ideals which are extensions of graded weakly primary ideals. Let be a com…
Graded Weakly -Absorbing Ideals over Non-Commutative Rings
Azzh Alshehry, Jebrel Habeb, Rashid Abu-Dawwas +1
For commutative graded rings, the concept of graded -absorbing (graded weakly -absorbing) ideals was introduced and examined by Al-Zoubi, Abu-Dawwas and Çeken (Hacettepe Jour…
On Graded --absorbing prime ideals
Mashhoor Refai, Rashid Abu-Dawwas, Unsal Tekir +3
Let be a group, be a -graded commutative ring with nonzero unity and be the set of all graded ideals of . Suppose that $ϕ:GI(R)\rightarrow GI(R)\cup\{\emptyse…
On Generalizations of Graded -ideals
Rashid Abu-Dawwas, Malik Bataineh, Ghida'a Al-Qura'an
In this article, we introduce a generalization of the concept of graded -ideals in graded commutative rings with nonzero unity. Let be a group, be a -graded commutati…
On Generalizations of Graded -absorbing and Graded -absorbing primary submodules
Azzh Saad Alshehry, Rashid Abu-Dawwas
Let be a graded commutative ring with non-zero unity and be a graded unitary -module. In this article, we introduce the concepts of graded --absorbing and grad…
On Graded -Prime Submodules
Azzh Saad Alshehry, Malik Bataineh, Rashid Abu-Dawwas
Let be a graded commutative ring with non-zero unity and be a graded unitary -module. Let be the set of all graded -submodules of and $ϕ: GS(M)\righta…
On Graded 2-Absorbing Coprimary Submodules
Malik Bataineh, Rashid Abu-Dawwas
The aim of this article is to introduce the concept of graded -absorbing coprimary submodules as a generalization of graded strongly -absorbing second submodules, and explore…
On Properties of Graded Rings and Graded Modules
Mashhoor Refai, R. Abu-Dawwas
Let be a -graded ring. In this article, we introduce two new concepts on graded rings, namely, weakly graded rings and invertible graded rings, and we discuss the relations…
On Graded -Absorbing Prime Submodules
Ahmad Ka'abneh, Rashid Abu-Dawwas
Let be a group with identity , be a commutative -graded ring with unity and be a -graded unital -module. In this article, we introduce the concept of gr…
Graded Weakly prime Ideals of Non-Commutative Rings
Azzh Saad Alshehry, Rashid Abu-Dawwas
In this article, we consider the structure of graded rings, not necessarily commutative nor with unity, and study the graded weakly prime ideals. We investigate the graded rings in…
On Graded Radically Principal Ideals
Rashid Abu-Dawwas
Let be a commutative -graded ring with a nonzero unity. In this article, we introduce the concept of graded radically principal ideals. A graded ideal of is said to…
On Graded Strongly -Absorbing Primary Ideals
Rashid Abu-Dawwas
Let be a group with identity and be a -graded commutative ring with nonzero unity . In this article, we introduce the concept of graded strongly -absorbing pri…
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…