On the arithmetic of Krull monoids with finite Davenport constant.

DOI10.1016/j.jalgebra.2008.11.020zbMath1196.20066OpenAlexW2077048852MaRDI QIDQ1014601

Alfred Geroldinger, David J. Grynkiewicz

Publication date: 29 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.11.020

zbMATH Keywords

Krull monoidsnon-unique factorizationslengths of factorizations

Mathematics Subject Classification ID

Commutative semigroups (20M14) Units and factorization (11R27) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Arithmetic theory of semigroups (20M13)

Related Items

Non-commutative Krull monoids: a divisor theoretic approach and their arithmetic., Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids., Factorization under local finiteness conditions, On product-one sequences over subsets of groups, Sets of lengths in maximal orders in central simple algebras., HIGHER-ORDER CLASS GROUPS AND BLOCK MONOIDS OF KRULL MONOIDS WITH TORSION CLASS GROUP, On the arithmetic of tame monoids with applications to Krull monoids and Mori domains., On the arithmetic of Krull monoids with infinite cyclic class group, On congruence half-factorial Krull monoids with cyclic class group, Some Recent Results and Open Problems on Sets of Lengths of Krull Monoids with Finite Class Group, On transfer homomorphisms of Krull monoids, Local and Global Tameness in Krull Monoids, Davenport constant for semigroups. II.

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