Andreas Reinhart

activity

20142023

most citedUnique factorization property of non-unique factorization domains II

6 citations · 6 across the 5 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.AC2015

Group-theoretic and topological invariants of completely integrally closed Prüfer domains

Olivier A. Heubo-Kwegna, Bruce Olberding, Andreas Reinhart

We consider the lattice-ordered groups Inv $(R)$ and Div $(R)$ of invertible and divisorial fractional ideals of a completely integrally closed Prüfer domain. We prove that Div $(R)$ …

math.AC2015

A note on conductor ideals

Andreas Reinhart

Let $S$ be a commutative ring with identity and $R$ a unitary subring of $S$ . An ideal $I$ of $S$ is called an $R$ -conductor ideal of $S$ if $I = {x \in S ∣ x S \subseteq V}$ for so…

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…