activity
20162026
most citedOn 1-absorbing primary ideal of a commutative ring (Correction to Theorem 17 is added)

53 citations · 54 across the 11 of their papers we have counts for

collaborators

15 papers

math.AC2026

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,…

math.AC2026

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…

math.AC2025

Semi n-submodules of modules over commutative rings

Hani Khashan, Ece Yetkin Celikel

Let be a commutative ring with identity and a unitary -module. The purpose of this paper is to introduce the concept of semi--submodules as an extension of semi -i…

math.AC2022

Semi r-ideals of commutative rings

Hani A. Khashan, Ece Yetkin Celikel

For commutative rings with identity, we introduce and study the concept of semi -ideals which is a kind of generalization of both -ideals and semiprime ideals. A proper ideal…

math.AC2022

On Weakly S-primary Submodules

Ece Yetkin Celikel, Hani A. Khashan

Let be a commutative ring with a non-zero identity, be a multiplicatively closed subset of and be a unital -module. In this paper, we define a submodule of $…

math.AC2022

S-1-absorbing primary submodules

Mohammed Issoual, Najib Mahdou, Neslihan Aysen Ozkirisci +1

In this work, we introduce the notion of -1-absorbing primary submodule as an extension of 1-absorbing primary submodule. Let be a multiplicatively closed subset of a ring $…