1 citations · 1 across the 3 of their papers we have counts for
6 papers
Factorization in almost Dedekind domain
Gyu Whan Chang, Hyun Seung Choi
Let be a field, a prime number, an indeterminate over , for each integer and $D = \bigcup\limits_{n\in\mat…
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…
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…
-absorbing monomial ideals in polynomial rings
Hyun Seung Choi, Andrew Walker
In a commutative ring with unity, given an ideal of , Anderson and Badawi in 2011 introduced the invariant , which is the minimal integer for which is an $…
Descending chains of semistar operations
Hyun Seung Choi, Timothy McEldowney, Andrew Walker
A class of integer-valued functions defined on the set of ideals of an integral domain is investigated. We show that this class of functions, which we call ideal valuations, ar…
The radical of an n-absorbing ideal
Hyun Seung Choi, Andrew Walker
In this note we show that in a commutative ring with unity, for any , if is an -absorbing ideal of , then .