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.
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Publication:1032514
DOI10.1007/s12188-008-0010-zzbMath1191.20069OpenAlexW1976742399MaRDI QIDQ1032514
Publication date: 26 October 2009
Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12188-008-0010-z
Units and factorization (11R27) Finite abelian groups (20K01) Class groups (13C20) Arithmetic theory of semigroups (20M13)
Related Items (13)
A characterization of class groups via 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 ⋮ On the incomparability of systems of sets of lengths ⋮ Sets of minimal distances and characterizations of class groups of Krull monoids ⋮ Towards a more precise understanding of sets of lengths ⋮ On the arithmetic of tame monoids with applications to Krull monoids and Mori domains. ⋮ Products of two atoms in Krull monoids and arithmetical characterizations of class groups. ⋮ The set of minimal distances in Krull monoids ⋮ On congruence half-factorial Krull monoids with cyclic class group ⋮ On half-factoriality of transfer Krull monoids ⋮ Some Recent Results and Open Problems on Sets of Lengths of Krull Monoids with Finite Class Group ⋮ THE CATENARY DEGREE OF KRULL MONOIDS II
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