H. Baek

activity

20242026

collaborators

5 papers

math.RT2026

On finite-dimensional multiplicity-free irreducible modules for a nil-DAHA of type $(C_{1}^{\lor}, C_{1})$

Jongyook Park, Jae-Ho Lee, Hyungtae Baek

Fix nonzero $r_{0}, r_{1} \in C$ . Let $H$ denote a nil-DAHA of type $(C_{1}^{\lor}, C_{1})$ defined by generators $t_{0}, u_{0}, t_{1}, u_{1}$ and relations $(t_i-r_i)(t_i-r_i…

math.AC2026

Local properties of integral domains under extensions and pullback constructions

Hyungtae Baek, Jung Wook Lim, Omar Ouzzaouit. +1

For a property $X$ of integral domains, an integral domain $D$ is said to be a {\it locally $X$ -domain} if $D_{P}$ has the property $X$ for every prime…

math.AC2026

A special subring of the Nagata ring and the Serre's conjecture ring

Hyungtae Baek, Jung Wook Lim

Many ring theorists researched various properties of Nagata rings and Serre's conjecture rings. In this paper, we introduce a subring (refer to the Anderson ring) of both the Nagat…

math.AC2025

On $S$ - $n$ -absorbing ideals

Hyungtae Baek, Hyun Seung Choi, Jung Wook Lim

Let $R$ be a commutative ring with identity, $S$ a multiplicative subset of $R$ and $I$ an ideal of $R$ disjoint from $S$ . In this paper, we introduce the notion of an $S$ - $n$ -abso…

math.AC2024

On the transfer of certain ring-theoretic properties in Anderson rings

Hyungtae Baek, Jung Wook Lim, Ali Tamoussit

Let $R$ be a commutative ring with unity and let $X$ be an indeterminate over $R$ . The \textit{Anderson ring} of $R$ is defined as the quotient ring of the polynomial ring $R [X]$ b…