A characterization of weakly Krull monoid algebras

Victor Fadinger*, Daniel Windisch

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Let D be a domain and let S be a torsion-free monoid such that D has characteristic 0 or the quotient group of S satisfies the ascending chain condition on cyclic subgroups.
We give a characterization of when the monoid algebra D[S] is weakly Krull. As corollaries, we reobtain the results on when D[S] is Krull resp. weakly factorial, due to Chouinard resp. Chang. Furthermore, we deduce a characterization of
generalized Krull monoid algebras analogous to our main result and we characterize the weakly Krull domains among the affine monoid algebras.
Original languageEnglish
Pages (from-to)277-292
Number of pages16
JournalJournal of Algebra
Publication statusPublished - 2022


  • Affine monoid
  • Affine monoid algebra
  • Affine monoid ring
  • Monoid algebra
  • Monoid ring
  • Semigroup ring
  • Weakly Krull domain
  • Weakly Krull monoid

ASJC Scopus subject areas

  • Algebra and Number Theory


  • NAWI Graz


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