On the distribution of prime divisors in class groups of affine monoid algebras

DOI10.1080/00927872.2021.2023888zbMath1487.13004arXiv2107.12644OpenAlexW3183951666MaRDI QIDQ5080182

Daniel Windisch, Victor Fadinger

Publication date: 31 May 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.12644

zbMATH Keywords

prime divisorsclass groupsmonoid algebrasaffine monoidaffine monoid algebras

Mathematics Subject Classification ID

Commutative semigroups (20M14) Ideals and multiplicative ideal theory in commutative rings (13A15) Semigroup rings, multiplicative semigroups of rings (20M25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Class groups (13C20)

Related Items (2)

Semigroup rings as weakly Krull domains ⋮ On Dedekind domains whose class groups are direct sums of cyclic groups

Cites Work

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• On the class group of a graded domain
• The distribution of prime divisors in finitely generated domains
• A characterization of weakly Krull monoid algebras
• Factoriality and class groups of cluster algebras
• On the distribution of prime divisors in Krull monoid algebras
• Every abelian group is the class group of a simple Dedekind domain
• Irreducible polynomials with several prescribed coefficients

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