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On Weakly 1-Absorbing Primary Ideals of Commutative Rings
(World Scientific, 2022)
Let R be a commutative ring with 1 ≠ 0. In this paper, 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 called a weakly 1-absorbing ...
On 1-absorbing primary ideals of commutative rings
(World Scientific, 2019-04-30)
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 ...