2 citations · 4 across the 16 of their papers we have counts for
8 papers · 1 filter
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 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…
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…