Browsing by Author "YetkinÇelikel, Ece"
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2absorbing δsemiprimary Ideals of Commutative Rings
YetkinÇelikel, Ece (Kyungpook National University, 2021)Let R be a commutative ring with nonzero identity, I(R) the set of all idealsof R and δ: I(R) → I(R) an expansion of ideals of R. In this paper, we introduce theconcept of 2absorbing δsemiprimary ideals in commutative ... 
2nil ideals of commutative rings
YetkinÇelikel, Ece (Belgian Mathematical Society, 2021)The concept of 2nil ideal of a commutative ring R is introduced, as an alternative to the (2, n)ideals from [6]. We study its relationship with previously introduced classes of ideals, such as 2absorbing ideals and ... 
2Nil submodules of modules over commutative rings
Mahdou, Najib; Moutui, Moutu Abdou Salam; YetkinÇelikel, Ece (World Scientific, 2022)In this paper, we extend the notion of 2nil ideal introduced by Yetkin Celikel in [E. Yetkin Celikel, 2nil ideals of commutative rings, Bulletin of the Belgian Mathematical Society Simon Stevin 28(3) (2021).] to 2nil ... 
Generalizations of nideals of Commutative Rings
YetkinÇelikel, Ece (Erzincan Binali Yıldırım Üniversitesi, Fen Bilimleri Enstitüsü, 2020).... 
Idealbased quasi zero divisor graph
YetkinÇelikel, Ece; Das, Angsuman; Abdioğlu, Cihat (Hacettepe Üniversitesi Fen Fakultesi, 2021)Let R be a commutative ring with identity and I a proper ideal of R. In this paper we introduce the idealbased quasi zero divisor graph QGammaI(R) of R with respect to I which is an undirected graph with vertex set ... 
On weakly 1 absorbing primary submodules
YetkinÇelikel, Ece; Koç, Suat; Tekir, Ünsal; Yıldız, Eda (World Scientific, 2022)In this paper, we introduce weakly 1absorbing primary submodules of modules over commutative rings. Let R be a commutative ring with a nonzero identity and M be a nonzero unital module. A proper submodule N of M is said ... 
Quasi J submodules
YetkinÇelikel, Ece; ;Khashan, Hani A. (TUBITAK, 2022)Let R be a commutative ring with identity and M be a unitary Rmodule. The aim of this paper is to extend the notion of quasi J ideals of commutative rings to quasi J submodules of modules. We call a proper submodule N ... 
Semi nideals of commutative rings
YetkinÇelikel, Ece; Khashan, Hani A. (Springer Nature, 2022)Let R be a commutative ring with identity. A proper ideal I is said to be an nideal of R if for a, b ∈ R, ab ∈ I and a∉0 imply b ∈ I. We give a new generalization of the concept of nideals by defining a proper ideal I ... 
The triple zero graph of a commutative ring
YetkinÇelikel, Ece (Ankara Üniv. Fen Fakültesi, 2021)Let R be a commutative ring with nonzero identity. We define the set of triple zero elements of R by TZ(R)=ainZ(R)ast:$thereexists$b,cinRbackslash0$suchthat$abc=0$,$abneq0$,$acneq0$,$bcneq0. In this paper, we introduce ... 
δnIDEALS OF COMMUTATIVE RINGS
YetkinÇelikel, Ece; Ulucak, Gülşen (University of Guilan, 2022)Let R be a commutative ring with nonzero identity, and δ: I(R) → I(R) be an ideal expansion where I(R) is the set of all ideals of R. In this paper, we introduce the concept of δnideals which is an extension of nideals ...