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math.AC2020★ 53 cited
On 1-absorbing primary ideal of a commutative ring (Correction to Theorem 17 is added)
Ayman Badawi, Ece Yetkin Celikel
Let R be a commutative ring with identity. In this paper, we introduce the concept 1-absrbing primary ideal of R.
math.AC2020★ 8 cited
On weakly delta-semiprimary ideals of commutative rings
Ayman Badawi, Deniz Sonmez, Gursel Yesilot
Let be a commutative ring with . We recall that a proper ideal of is called a semiprimary ideal of if whenever and , then $a\in \sqr…
math.AC2020
On n-semiprimary Ideals and n-pseudo Valuation Domains
David F. Anderson, Ayman Badawi
In this paper, we introduce the concept of n-semiprimary ideals, n-powerful ideals, and n-powerful semiprimary ideals of commutative rings. We study these concepts and relate them…