1 citations · 2 across the 10 of their papers we have counts for
14 papers
Strongly multiplicative sets, idempotent localizations, and -prime phenomena
Hwankoo Kim, Suat Koç
A multiplicative set of a commutative ring is strongly multiplicative if every family of elements of admits a common multiple in $S \cap \bigcap_{i \i…
Annihilator Multiplication Modules: Ring Characterizations and Constructions
Hwankoo Kim, Suat Koç
An -module is annihilator multiplication if the annihilator of each element equals that of for a finitely generated ideal . We characterize rings for which every fai…
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…
Commutative rings with --absorbing prime factorization
Abdelhaq El Khalfi, Hicham Laarabi, Suat Koç
Let be a commutative ring with and be a fixed positive integer. A proper ideal of is said to be an \textit{-OA ideal} if whenever $a_1a_2\cdots a_{n+1}…
On Divisor Topology of Modules over Domains
Ünsal Tekir, Uğur Yiğit, Mesut Buğday +1
Let be a module over a domain and be the set of all nonzero nongenerators of Consider following equivalence relation on $M^…
On Divisor Topology of Commutative Rings
Uğur Yiğit, Suat Koç
Let be an integral domain and the set of all nonzero nonunits of For every elements we define if and only if that is, an…
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 Regular Fusible Modules
Osama A. Naji, Mehmet Özen, Ünsal Tekir +1
In this article, we introduce the notion of regular fusible modules. Let be a ring with an identity and an -module. An element is said to be regular fusib…
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…
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 -absorbing -primary ideals
Abdelhaq El Khalfi, Najib Mahdou, Ünsal Tekir +1
Let be a commutative ring with nonzero identity. Let be the set of all ideals of and let be a function. T…
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 Weakly 1-Absorbing Prime Ideals
Suat Koç, Ünsal Tekir, Eda Yıldız
This paper introduce and study weakly 1-absorbing prime ideals in commutative rings. Let be a commutative ring with a nonzero identity . A proper ideal of is s…
Generalization of 2-absorbing quasi primary ideals
Emel Aslankarayigit Ugurlu, Unsal Tekir, Suat Koc
In this article, we introduce and study the concept of -2-absorbing quasi primary ideals in commutative rings. Let be a commutative ring with a nonzero identity and b…