10 citations · 11 across the 4 of their papers we have counts for
5 papers · 1 filter
Primes and absolutely or non-absolutely irreducible elements in atomic domains
Victor Fadinger, Sophie Frisch, Sarah Nakato +2
We give examples of atomic integral domains satisfying each of the eight logically possible combinations of existence or non-existence of the following kinds of elements: 1) primes…
Semigroup rings as weakly Krull domains
Gyu Whan Chang, Victor Fadinger, Daniel Windisch
Let be an integral domain and be a torsion-free commutative cancellative (additive) semigroup with identity element and quotient group . In this paper, we show that if c…
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…
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…
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…