H. Baek

collaborators

3 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.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…

On finite-dimensional multiplicity-free irreducible modules for a nil-DAHA of type (C1∨​,C1​)

Local properties of integral domains under extensions and pullback constructions

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

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