3 papers
math.AC2021
On the distribution of prime divisors in class groups of affine monoid algebras
Victor Fadinger, Daniel Windisch
We investigate the class groups and the distribution of prime divisors in affine monoid algebras over fields and thereby extend the result of Kainrath that every finitely generated…
math.AC2021
On the distribution of prime divisors in Krull monoid algebras
Victor Fadinger, Daniel Windisch
In the present work, we prove that every class of the divisor class group of a Krull monoid algebra contains infinitely many prime divisors. Several attempts to this result have be…
math.AC2020
A characterization of weakly Krull monoid algebras
Victor Fadinger, Daniel Windisch
Let be a domain and let be a torsion-free monoid whose quotient group satisfies the ascending chain condition on cyclic subgroups. We give a characterization of when the mo…