4 citations · 6 across the 10 of their papers we have counts for
10 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…
Phi Classical 1-Absorbing Prime Submodule
Zeynep Yılmaz Uçar, Bayram Ali Ersoy, Ünsal Tekir +2
In this paper, all rings are commutative with nonzero identity. Let M be an R-module. We introduce the concept of phi classical 1-absorbing prime submodules. A proper submodule N o…
On classical 1-absorbing prime submodules
Zeynep Yılmaz Uçar, Bayram Ali Ersoy, Ünsal Tekir +2
In this study, we aim to introduce the concept of classical 1-absorbing prime submodules of a nonzero unital module over a commutative ring with unity. A proper submodule $…
On weakly classical 1-absorbing prime submodules
Zeynep Yılmaz Uçar, Bayram Ali Ersoy, Ünsal Tekir +2
In this paper, we study weakly classical 1-absorbing prime submodules of a nonzero unital module over a commutative ring having a nonzero identity. A proper submodule o…
Graded Pseudo Weakly Prime Spectrum Of Graded Topological Modules
Tamem Al-shorman, Malik Bataineh, Melis Bolat +1
In this study, we introduce graded pseudo weakly prime submodules of G-graded R-modules, which are an extension of graded weakly prime ideals over G-graded rings. On the graded spe…
--Primary Hyperideals in Krasner Hyperrings
Elif Kaya, Melis Bolat, Serkan Onar +2
In this paper, we study commutative Krasner hyperring with nonzero identity. -prime, -primary and --primary hyperideals are introduced. We intend to extend the concept…
--Hyperideals and ---Hyperideals of Commutative Krasner Hyperrings
Peng Xu, Melis Bolat, Elif Kaya +3
In this paper, our purpose is to define the expansion of -hyperideals and extend this concept to ---hyperideal. Let be a commutative Krasner hyperring with nonzer…
-Hyperideals and Generalizations of -Hyperideals in Krasner Hyperrings
Peng Xu, Melis Bolat, Elif Kaya +3
In this study, we examine some properties of -hyperideals in the commutative Krasner hyperrings. Some properties of -hyperideals are also studied. The relation between prime…
Rings satisfying *-property
Kursat Hakan Oral, Bayram Ali Ersoy, Unsal Tekir
In this paper we will investigate commutative rings which have the -property. We say that a ring satisfy property if for any family of ideals $\left\{ I_α\right\}…
Soft Γ-Semirings
Özcan Bektaş, Nurten Bayrak, Bayram Ali Ersoy
In this paper, the definitions of soft Γ-semirings and soft sub Γ-semi rings are introduced with the aid of the concept of soft set theory introduced by Molodtsov. In the mean time…