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 math.NTShow all

11 papers · 1 filter

math.NT2026

On a classical zero-sum invariant

Alfred Geroldinger, Wenkai Yang

Let $G$ be a nontrivial, finite abelian group. Then $ν (G)$ is the smallest integer $ℓ$ such that every zero-sum free sequence $T$ over $G$ of length at least $ℓ$ has the foll…

math.NT2022★ 2 cited

On algebraic properties of power monoids of numerical monoids

Pierre-Yves Bienvenu, Alfred Geroldinger

Let $S \subset N_{0}$ be a numerical monoid and let $P_{fin} (S)$ , resp $P_{fin, 0} (S)$ , denote the power monoid, resp. the restricted pow…

math.NT2022

On monoids of weighted zero-sum sequences and applications to norm monoids in Galois number fields and binary quadratic forms

Alfred Geroldinger, Franz Halter-Koch, Qinghai Zhong

Let $G$ be an additive finite abelian group and $Γ \subset End (G)$ be a subset of the endomorphism group of $G$ . A sequence $S = g_{1} \cdot \dots \cdot g_{ℓ}$ ove…

math.NT2019

On product-one sequences over dihedral groups

Alfred Geroldinger, David J. Grynkiewicz, Jun Seok Oh +1

Let $G$ be a finite group. A sequence over $G$ means a finite sequence of terms from $G$ , where repetition is allowed and the order is disregarded. A product-one sequence is a sequ…

math.NT2015★ 18 cited

A Characterization of class groups via sets of lengths {II}

Alfred Geroldinger, Qinghai Zhong

Let $H$ be a Krull monoid with finite class group $G$ and suppose that every class contains a prime divisor. If an element $a \in H$ has a factorization $a=u_1 \cdot \ldots \cdot u…

math.NT2015★ 10 cited

On products of k atoms II

Alfred Geroldinger, David J. Grynkiewicz, Pingzhi Yuan

Let $H$ be a Krull monoid with class group $G$ such that every class contains a prime divisor (for example, rings of integers in algebraic number fields or holomorphy rings in alge…