Browsing by Author "Celikel, Ece Yetkin"

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1-absorbing primary submodules

Celikel, Ece Yetkin (OVIDIUS UNIV PRESS, 2021)

Let R be a commutative ring with non-zero identity and M be a unitary R-module. The goal of this paper is to extend the concept of 1-absorbing primary ideals to 1-absorbing primary submodules. A proper submodule N of M is ...
On Weakly 1-Absorbing Primary Ideals of Commutative Rings

Badawi, Ayman; Celikel, Ece Yetkin (WORLD SCIENTIFIC PUBL CO PTE LTD, JUN 2022)

Let R be a commutative ring with 1 not equal 0. We introduce the concept of weakly 1-absorbing primary ideal, which is a generalization of 1-absorbing primary ideal. A proper ideal I of R is said to be weakly 1-absorbing ...
Quasi J-ideals of commutative rings

Khashan, Hani A.; Celikel, Ece Yetkin (SPRINGER-VERLAG ITALIA SRL, JUN 2022)

Let R be a commutative ring with identity. In this paper, we introduce the concept of quasi J-ideal which is a generalization of J-ideal. A proper ideal of R is called a quasi J-ideal if its radical is a J-ideal. Many ...
Weakly J-Ideals of Commutative Rings

Khashan, Hani; Celikel, Ece Yetkin (UNIV NIS, 2022)

Let R be a commutative ring with non-zero identity.In this paper, we introduce the concept of weakly J-ideals as a new generalization of J-ideals. We call a proper ideal I of a ring R a weakly J-ideal if whenever a, b is ...