A. Geroldinger

activity

20082026

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

11 citations · 29 across the 19 of their papers we have counts for

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2 papers · 1 filter

math.AC2024

On Sets of Lengths in Monoids of plus-minus weighted Zero-Sum Sequences

Alfred Geroldinger, Florian Kainrath

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, \ld…

math.AC2024

On monoid algebras having every nonempty subset of $N_{\geq 2}$ as a length set

Alfred Geroldinger, Felix Gotti

We construct monoid algebras which satisfy the ascending chain condition on principal ideals and which have the property that every nonempty subset of $N_{\geq 2}$ occurs a…

On Sets of Lengths in Monoids of plus-minus weighted Zero-Sum Sequences

On monoid algebras having every nonempty subset of N≥2​ as a length set

On monoid algebras having every nonempty subset of $N_{\geq 2}$ as a length set