On the distribution of prime divisors in Krull monoid algebras

Victor Fadinger*, Daniel Windisch

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Article number106887
JournalJournal of Pure and Applied Algebra
Issue number4
Publication statusPublished - 2022


  • Class group
  • Krull domain
  • Krull monoid
  • Monoid algebra
  • Prime divisors
  • Semigroup ring

ASJC Scopus subject areas

  • Algebra and Number Theory


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