Browsing by Author "YetkinÇelikel, Ece"
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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 ... 
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 SPRIME SUBMODULES
Khashan, Hani A.; YetkinÇelikel, Ece (Taehan Suhakhoe, 2022)Let R be a commutative ring with a nonzero identity, S be a multiplicatively closed subset of R and M be a unital Rmodule. In this paper, we define a submodule N of M with (N:R M)∩S = ∅ to be weakly Sprime if there ... 
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 ...