40 citations · 282 across the 43 of their papers we have counts for
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math.AC2015
Arithmetic of seminormal weakly Krull monoids and domains
Alfred Geroldinger, Florian Kainrath, Andreas Reinhart
We study the arithmetic of seminormal -noetherian weakly Krull monoids with nontrivial conductor which have finite class group and prime divisors in all classes. These monoids i…
math.AC2015★ 3 cited
The interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics
K. Cziszter, M. Domokos, A. Geroldinger
This paper surveys and develops links between polynomial invariants of finite groups, factorization theory of Krull domains, and product-one sequences over finite groups. The goal…
math.AC2015★ 13 cited
A characterization of class groups via sets of lengths
Alfred Geroldinger, Wolfgang Schmid
Let be a Krull monoid with class group such that every class contains a prime divisor. Then every nonunit can be written as a finite product of irreducible elemen…