4 citations · 4 across the 3 of their papers we have counts for
4 papers
S-J-Ideals: A Study in Commutative and Noncommutative Rings
Alaa Abouhalaka, Hatice Çay, Bayram Ali Ersoy
In this paper, we introduce the concept of S-J-ideals in both commutative and noncommutative rings. For a commutative ring R and a multiplicatively closed subset S, we show that ma…
S-Prime Right Submodules and an S-Version of Prime Avoidance
Alaa Abouhalaka
Let S be an m-system of a ring R, and P a submodule of a right R-module M. This paper, presents the notion of S-prime submodule and provides some properties and equivalent definiti…
Generalizations of almost prime and right -prime ideals in noncommutative rings
Alaa Abouhalaka, Sehmus Findik, Nico Groenewald
Let be a noncommutative ring, and let be an -system of . In this paper, we give more results on the concept of almost prime (right) ideals, that were introduced by th…
Almost prime ideals in noncommutative rings
Alaa Abouhalaka, Sehmus Findik
A proper ideal of a commutative ring with identity is an almost prime ideal if implies or . In this paper we define almost prime ide…