On the distribution of prime divisors in Krull monoid algebras
Victor Fadinger, Daniel Windisch

TL;DR
This paper proves that in Krull monoid algebras, each class of the divisor class group contains infinitely many prime divisors, filling gaps in previous partial results.
Contribution
It provides a complete proof that every class in the divisor class group of a Krull monoid algebra has infinitely many prime divisors, resolving open gaps in prior research.
Findings
Each class contains infinitely many prime divisors
Complete proof of a longstanding conjecture
Addresses gaps in previous literature
Abstract
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 been made in the literature so far, unfortunately with open gaps. We present a complete proof of this fact.
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