On the distribution of prime divisors in Krull monoid algebras

DOI10.1016/j.jpaa.2021.106887zbMath1474.13007arXiv2101.04398OpenAlexW3197371638WikidataQ114155421 ScholiaQ114155421MaRDI QIDQ2664601

Victor Fadinger, Daniel Windisch

Publication date: 17 November 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.04398

zbMATH Keywords

prime divisorsclass groupKrull domainsemigroup ringKrull monoidmonoid algebra

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 (6)

On the distribution of prime divisors in class groups of affine monoid algebras ⋮ Factorization of polynomials with rational exponents over a field ⋮ On the \(S\)-class group of the monoid algebra \(D[\Gamma\)] ⋮ On Dedekind domains whose class groups are direct sums of cyclic groups ⋮ A characterization of length-factorial Krull monoids ⋮ On the class semigroup of root-closed weakly Krull Mori monoids

Cites Work

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• Polytopes, Rings, and K-Theory
• Krull Semigroups and Divisor Class Groups
• On Algebraic Properties of Infinite Group Rings
• Torsion-Free Abelian Group Rings III
• On the prime spectrum of a mori domain

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