5 papers
Generalizations Of Graded Prime Ideals Over Graded Near Rings
Malik Bataineh, Tamem Al-shorman, Eman Al-Kilany
This paper considers graded near-rings over a monoid G as a generalizations of the graded rings over groups, introduce certain innovative graded weakly prime ideals and graded almo…
On Graded Classical S-Primary Submodules
Tamem Al-Shorman, Malik Bataineh
The purpose of this article is to introduce the graded classical S-primary submodules which are extensions of graded classical primary submodules. We state that P is a graded class…
Graded Prime Ideals Over Graded Near Ring
Malik Bataineh, Tamem Al-Shorman, Eman Al-Kilany
In this paper, we consider graded near-rings over a monoid as a generalizations of graded rings over groups. We introduce certain innovative graded prime ideals and study some…
Prime Principal Right Ideal Rings
Tamem Al-Shorman, Malik Bataineh
Let R be a commutative ring with unity . In this article, we introduce the concept of prime principal right ideal rings (\textbf{PPRIR}), A prime ideal P of R is said to be…
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…