On the maximal cardinality of half-factorial sets in cyclic groups

DOI10.1007/s00208-005-0690-yzbMath1093.11067OpenAlexW2050487721MaRDI QIDQ2575647

Alain Plagne, Wolfgang Alexander Schmid

Publication date: 6 December 2005

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-005-0690-y

zbMATH Keywords

factorization of algebraic integershalf-factorial domains

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Units and factorization (11R27) Algebraic combinatorics (05E99) Other combinatorial number theory (11B75) Finite abelian groups (20K01) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Additive number theory; partitions (11P99)

Related Items (15)

The set of distances in seminormal weakly Krull monoids ⋮ A realization result for systems of sets of lengths ⋮ A characterization of class groups via sets of lengths. II. ⋮ A characterization of finite abelian groups via sets of lengths in transfer Krull monoids ⋮ Half-factorial subrings of factorial domains ⋮ Erdős-Zaks all divisor sets. ⋮ Weakly half-factorial sets in finite abelian groups ⋮ A NEW CHARACTERIZATION OF HALF-FACTORIAL KRULL MONOIDS ⋮ Long sets of lengths with maximal elasticity ⋮ A new upper bound for the cross number of finite Abelian groups. ⋮ The set of minimal distances in Krull monoids ⋮ On congruence half-factorial Krull monoids with cyclic class group ⋮ EZADS inputs which produce half-factorial block monoids. ⋮ On half-factoriality of transfer Krull monoids ⋮ A characterization of length-factorial Krull monoids

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