30 citations · 33 across the 3 of their papers we have counts for
6 papers
Generalized divisor topology of commutative rings
Suat Koç, İrem Doğan, Dilara Erdemir +1
Let be a commutative ring with nonzero identity and let denote the set of its nonzero nonunits. We extend the divisor topology , previously studied for integral do…
On Weakly 1-absorbing Primary Ideals of Commutative Rings
Ayman Badawi, Ece Yetkin Celikel
Let R be a commutative ring with . In this paper, we introduce the concept of weakly 1-absorbing primary ideal which is a generalization of 1-absorbing ideal. A proper idea…
On right -Noetherian rings and -Noetherian modules
Zehra Bilgin, Manuel L. Reyes, Ünsal Tekir
In this paper we study right -Noetherian rings and modules, extending of notions introduced by Anderson and Dumitrescu in commutative algebra to noncommutative rings. Two charac…
-classical prime submodules
Hojjat Mostafanasab, Esra Sengelen Sevim, Sakineh Babaei +1
In this paper, all rings are commutative with nonzero identity. Let be an -module. A proper submodule of is called a classical prime submodule, if for each …
Weakly classical prime submodules
Hojjat Mostafanasab, Unsal Tekir, Kursat Hakan Oral
In this paper, all rings are commutative with nonzero identity. Let be an -module. A proper submodule of is called a classical prime submodule, if for each …
On 2-absorbing primary submodules of modules over commutative rings
Hojjat Mostafanasab, Ece Yetkin, Ünsal Tekir +1
All rings are commutative with , and all modules are unital. The purpose of this paper is to investigate the concept of -absorbing primary submodules generalizing -ab…