J. Oh

activity

20182026

most citedOn the Algebraic and Arithmetic structure of the monoid of Product-one sequences II

7 citations · 16 across the 10 of their papers we have counts for

collaborators

11 papers

math.GR2026

The catenary degree of monoids of product-one sequences

Jun Seok Oh

Let $G$ be a (multiplicatively written) finite group. A sequence over $G$ is a finite collection of terms from $G$ , where repetition is allowed and the order is disregarded. A prod…

math.GR2026

On algebraic and arithmetic properties of monoids of product- $K$ sequences

Jun Seok Oh, Doniyor Yazdonov

Let $G$ be a group and $K$ be a normal subgroup of $G$ . A sequence over $G$ is a finite collection of terms from $G$ , where repetition is allowed, and the order is disregarded. A p…

math.CO2025

On zero-sum problems over metacyclic groups $C_{n} ⋊_{s} C_{2}$

Jun Seok Oh, Sávio Ribas, Kevin Zhao +1

Let $G$ be a finite group. A finite collection of elements from $G$ , where the order is disregarded and repetitions are allowed, is said to be a product-one sequence if its element…

math.AC2023★ 1 cited

On the isomorphism problem for monoids of product-one sequences

Alfred Geroldinger, Jun Seok Oh

Let $G_{1}$ and $G_{2}$ be torsion groups. We prove that the monoids of product-one sequences over $G_{1}$ and over $G_{2}$ are isomorphic if and only if the groups $G_{1}$ and $G_{2}$ are iso…

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.CO2020★ 1 cited

On zero-sum free sequences contained in random subsets of finite cyclic groups

Sang June Lee, Jun Seok Oh

Let $C_{n}$ be a cyclic group of order $n$ . A sequence $S$ of length $ℓ$ over $C_{n}$ is a sequence $S = a_{1} \cdot a_{2} \cdot \dots \cdot a_{ℓ}$ of…