On 1-absorbing primary ideals of commutative rings

Let R be a commutative ring with nonzero identity. In this paper, we introduce the concept of 1-absorbing primary ideals in commutative rings. A proper ideal I of R is called a 1-absorbing primary ideal of R if whenever nonunit elements a,b,c ∈ R and abc ∈ I, then ab ∈ I or c ∈ √I. Some properties o...

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Bibliographic Details
Main Author: Badawi, Ayman (author)
Other Authors: Celikel, Ece Yetkin (author)
Format: article
Published: 2019
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Online Access:http://hdl.handle.net/11073/25073
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