activity
20232026
most citedOn --absorbing ideals

1 citations · 1 across the 6 of their papers we have counts for

collaborators

7 papers

math.AC2026

Characterizations of t-Almost Dedekind Domains via w-Secondary Modules

Hwankoo Kim, Hyungtae Baek, Haleh Hamdi

Let be an integral domain and let denote the -operation on . A nonzero GV-torsion-free -module is called -secondary if, for every , either is…

math.RT2026

On finite-dimensional multiplicity-free irreducible modules for a nil-DAHA of type

Jongyook Park, Jae-Ho Lee, Hyungtae Baek

Fix nonzero . Let denote a nil-DAHA of type defined by generators 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 of integral domains, an integral domain is said to be a {\it locally -domain} if has the property for every prime…

math.AC2024

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

Hyungtae Baek, Jung Wook Lim, Ali Tamoussit

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

math.AC2024

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.AC2023

On -Noetherian modules and -strong Mori modules

Hyungtae Baek, Jung Wook Lim

In this paper, we study some properties of -Noetherian modules and -strong Mori modules. Among other things, we prove the Hilbert basis theorem for -Noetherian modules and…

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…