8 citations · 9 across the 12 of their papers we have counts for
13 papers
Quasi sdf-absorbing ideals in commutative rings
Violeta Leoreanu-Fotea, Ece Yetkin Celikel, Tarik Arabaci +1
This paper introduces and studies quasi sdf-absorbing ideals as a generalization of sdf-absorbing ideals. We investigate the stability of this property under various constructions,…
Generalized square-difference factor absorbing submodules of modules over commutative rings
Violeta Leoreanu-Fotea, Ece Yetkin Celikel, Tarik Arabaci +1
In this paper, we introduce and study the class of generalized square-difference factor absorbing (gsdf-absorbing) submodules of modules over commutative rings. We provide various…
On j-Artinian Modules Over Commutative Rings
Dilara Erdemir, Najib Mahdou, El Houssaine Oubouhou +1
Researchers introduced the notion of j-Artinian rings in [3] and obtained significant results concerning this new class of rings. Motivated by their definition and findings, we ext…
On \tilde{Spec}(M) Topology of Module M over Commutative Rings
Dilara Erdemir, Suat Koç, Ünsal Tekir +1
Let R be a commutative ring with unity and M be an R-module. In this study, we construct the \tilde{Spec}(M) topology using the prime spectrum of module M and multiplicatively clos…
Quasi Divisor Topology of Modules over Domains
Mesut Buğday, Dilara Erdemir, Ünsal Tekir +1
Let be a module over a domain , and where . We define an equivalence relation on as follows: i…
On Golomb Topology of Modules over Commutative Rings
Uğur Yiğit, Suat Koç, Ünsal Tekir
In this paper, we associate a new topology to a nonzero unital module over a commutative , which is called Golomb topology of the -module . Let be an\ -module…
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 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 -1-Absorbing Prime Ideals
Eda Yıldız, Ünsal Tekir, Suat Koç
In this paper, we introduce -1-absorbing prime ideals in commutative rings. Let be a commutative ring with a nonzero identity and $ϕ:\mathcal{I}(R)\rightarrow\mathc…
On S-Comultiplication Modules
Eda Yıldız, Ünsal Tekir, Suat Koç
In this article, we introduce and study S-comultiplication module which is the dual notion of S-multiplication module.We also characterize certain class of rings-modules such as co…
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\}…
Classical 2-absorbing submodules of modules over commutative rings
Hojjat Mostafanasab, Unsal Tekir, Kursat Hakan Oral
In this article, all rings are commutative with nonzero identity. Let be an -module. A proper submodule of is called a classical prime submodule, if for each $m\in M…
Uniformly 2-absorbing primary ideals of commutative rings
Hojjat Mostafanasab, Unsal Tekir, Gulsen Ulucak
In this study, we introduce the concept of "uniformly 2-absorbing primary ideals" of commutative rings, which imposes a certain boundedness condition on the usual notion of 2-absor…