G. Chang

activity

20072026

most citedUppers to zero in polynomial rings and Prüfer-like domains

12 citations · 39 across the 11 of their papers we have counts for

collaborators

12 papers

math.AC2026

Factorization in almost Dedekind domain

Gyu Whan Chang, Hyun Seung Choi

Let $F$ be a field, $p$ a prime number, $X$ an indeterminate over $F$ , $D_{n} = F [X^{\frac{1}{p ^{n}}}, X^{- \frac{1}{p ^{n}}}]$ for each integer $n \geq 0$ and $D = \bigcup\limits_{n\in\mat…

math.AC2024

Valuation Ideal Factorization Domains

Gyu Whan Chang, Andreas Reinhart

An integral domain $D$ is a {\em valuation ideal factorization domain} (VIFD) if each nonzero principal ideal of $D$ can be written as a finite product of valuation ideals. Clearly…

math.AC2023★ 1 cited

On Dedekind domains whose class groups are direct sums of cyclic groups

Gyu Whan Chang, Alfred Geroldinger

For a given family $(G_{i})_{i \in N}$ of finitely generated abelian groups, we construct a Dedekind domain $D$ having the following properties. \begin{enumerate} \item $\Pic(D) \co…

math.AC2022

Prime Factorization of ideals in commutative rings, with a focus on Krull rings

Gyu Whan Chang, Jun Seok Oh

Let $R$ be a commutative ring with identity. The structure theorem says that $R$ is a PIR (resp., UFR, general ZPI-ring, $π$ -ring) if and only if $R$ is a finite direct product of…

math.AC2022★ 10 cited

Semigroup rings as weakly Krull domains

Gyu Whan Chang, Victor Fadinger, Daniel Windisch

Let $D$ be an integral domain and $Γ$ be a torsion-free commutative cancellative (additive) semigroup with identity element and quotient group $G$ . In this paper, we show that if c…

math.AC2020★ 6 cited

Unique factorization property of non-unique factorization domains II

Gyu Whan Chang, Andreas Reinhart

Let $D$ be an integral domain. A nonzero nonunit $a$ of $D$ is called a valuation element if there is a valuation overring $V$ of $D$ such that $aV \cap D = a D$ . We say that $D$ is a…