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

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3 papers · 1 filter

math.GR2025

Factorization in Finitely-Presented Monoids

Alfred Geroldinger, Zachary Mesyan

We study arithmetic properties of factorizations of elements into products of generators, in monoids given with explicit presentations. After relating and comparing this perspectiv…

math.GR2015

Sets of Lengths

Alfred Geroldinger

Oftentimes the elements of a ring or semigroup $H$ can be written as finite products of irreducible elements, say $a = u_{1} \cdot \dots \cdot u_{k} = v_{1} \cdot \dots \cdot v_{ℓ}$ ,…

math.GR2012★ 11 cited

Non-commutative Krull monoids: A divisor theoretic approach and their arithmetic

Alfred Geroldinger

A (not necessarily commutative) Krull monoid---as introduced by Wauters---is defined as a completely integrally closed monoid satisfying the ascending chain condition on divisorial…