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math.AC2023★ 1 cited
On --absorbing ideals
Hyungtae Baek, Hyun Seung Choi, Jung Wook Lim
Let be a commutative ring with identity, a multiplicative subset of and an ideal of disjoint from . In this paper, we introduce the notion of an --abso…
math.AC2023
n-absorbing ideal factorization in commutative rings
Hyun Seung Choi
In this article, we show that Mori domains, pseudo-valuation domains, and -absorbing ideals, the three seemingly unrelated notions in commutative ring theory, are interconnected…