A. Geroldinger

activity

20082026

most citedOn strongly primary monoids, with a focus on Puiseux monoids

40 citations · 282 across the 43 of their papers we have counts for

collaborators

Showing 2023 · math.ACShow all

3 papers · 2 filters

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.AC2023

On Monoids of plus-minus weighted Zero-Sum Sequences: The Isomorphism Problem and the Characterization Problem

Florin Fabsits, Alfred Geroldinger, Andreas Reinhart +1

Let $G$ be an additive abelian group. A sequence $S = g_{1} \cdot \dots \cdot g_{ℓ}$ of terms from $G$ is a plus-minus weighted zero-sum sequence if there are $\varepsilon_1,\ldots,\v…

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…