On congruence half-factorial Krull monoids with cyclic class group

DOI10.4171/JCA/34zbMath1456.20015arXiv1709.00859MaRDI QIDQ2295754

Wolfgang Alexander Schmid, Alain Plagne

Publication date: 14 February 2020

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

Full work available at URL: https://arxiv.org/abs/1709.00859

zbMATH Keywords

factorizationDedekind domainKrull monoidhalf-factorialzero-sum sequenceset of lengthsminimal distanceblock monoid

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Commutative semigroups (20M14) Units and factorization (11R27) Finite abelian groups (20K01) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (11)

On product-one sequences over dihedral groups ⋮ A characterization of class groups via sets of lengths. II. ⋮ Length-factoriality in commutative monoids and integral domains ⋮ Sets of arithmetical invariants in transfer Krull monoids ⋮ On Dedekind domains whose class groups are direct sums of cyclic groups ⋮ On the atomic structure of torsion-free monoids ⋮ Finer factorization characterizations of class number 2 ⋮ Sets of minimal distances and characterizations of class groups of Krull monoids ⋮ A characterization of Krull monoids for which sets of lengths are (almost) arithmetical progressions ⋮ On transfer homomorphisms of Krull monoids ⋮ A characterization of length-factorial Krull monoids

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