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

53 citations · 53 across the 9 of their papers we have counts for

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Showing 2021Show all

6 papers · 1 filter

math.AC2021

On weakly S-prime submodules

Hani A. Khashan, Ece Yetkin Celikel

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.AC2021

Weakly J-submodules of Modules over Commutative Rings

Hani A. Khashan, Ece Yetkin Celikel

Let be a commutative ring with identity and be a unitary -module. By we denote the Jacobson radical of . The purpose of this paper is to introduce the concept…

math.AC2021

--ideals of commutative rings

Ece Yetkin Celikel, Gulsen Ulucak

Let be a commutative ring with nonzero identity, and be an ideal expansion where the set of all ideals of . In t…

math.AC2021

1-absorbing primary submodules

Ece Yetkin Celikel

Let be a commutative ring with non-zero identity and be a unitary -module. The goal of this paper is to extend the concept of 1-absorbing primary ideals to 1-absorbing p…

math.AC2021

Quasi J-submodules

Ece Yetkin Celikel, Hani A. Khashan

Let be a commutative ring with identity and be a unitary -module. The aim of this paper is to extend the notion of quasi -ideals of commutative rings to quasi -sub…

math.AC2021

Weakly J-ideals of Commutative Rings

Hani A. Khashan, Ece Yetkin Celikel

Let be a commutative ring with non-zero identity. In this paper, we introduce the concept of weakly -ideals as a new generalization of -ideals. We call a proper ideal …