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Publication:3117618
zbMath1244.20053MaRDI QIDQ3117618
Publication date: 29 February 2012
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algebraic number fieldsclass groupsDavenport constantKrull monoidsnon-unique factorizationssets of lengthslengths of factorizationscross numbershalf-factorial setsalmost arithmetical multiprogressions
Commutative semigroups (20M14) Units and factorization (11R27) Finite abelian groups (20K01) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Class groups (13C20) Arithmetic theory of semigroups (20M13)
Related Items (13)
The large Davenport constant. I: Groups with a cyclic, index 2 subgroup. ⋮ A characterization of class groups via sets of lengths ⋮ A characterization of class groups via sets of lengths. II. ⋮ Factorization length distribution for affine semigroups IV: a geometric approach to weighted factorization lengths in three-generator numerical semigroups ⋮ A characterization of finite abelian groups via sets of lengths in transfer Krull monoids ⋮ On the incomparability of systems of sets of lengths ⋮ Factorization length distribution for affine semigroups. II: Asymptotic behavior for numerical semigroups with arbitrarily many generators ⋮ On arithmetical numerical monoids with some generators omitted ⋮ Sets of minimal distances and characterizations of class groups of Krull monoids ⋮ Products of two atoms in Krull monoids and arithmetical characterizations of class groups. ⋮ On a conjecture concerning the maximal cross number of unique factorization indexed sequences ⋮ Arithmetical characterization of class groups of the form \(\mathbb Z/n\mathbb Z\oplus\mathbb Z/n\mathbb Z\) via the system of sets of lengths. ⋮ On atomic density of numerical semigroup algebras
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