Florian Kainrath

activity

20152024

collaborators

4 papers

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.AC2021

On transfer homomorphisms of Krull monoids

Alfred Geroldinger, Florian Kainrath

Every Krull monoid has a transfer homomorphism onto a monoid of zero-sum sequences over a subset of its class group. This transfer homomorphism is a crucial tool for studying the a…

math.AC2016

Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules

Yushuang Fan, Alfred Geroldinger, Florian Kainrath +1

Let $H$ be a commutative semigroup with unit element such that every non-unit can be written as a finite product of irreducible elements (atoms). For every $k \in N$ , let $…

math.AC2015

Arithmetic of seminormal weakly Krull monoids and domains

Alfred Geroldinger, Florian Kainrath, Andreas Reinhart

We study the arithmetic of seminormal $v$ -noetherian weakly Krull monoids with nontrivial conductor which have finite class group and prime divisors in all classes. These monoids i…