Towards a more precise understanding of sets of lengths

DOI10.5802/acirm.43zbMath1479.11195OpenAlexW2326002382MaRDI QIDQ4682441

Wolfgang Alexander Schmid

Publication date: 18 September 2018

Published in: Actes des rencontres du CIRM (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7bd7febad801af8488602704b828d6667179c1ec

zbMATH Keywords

factorizationDedekind domainKrull monoidzero-sum sequenceset of lengthsset of differences

Mathematics Subject Classification ID

Commutative semigroups (20M14) Units and factorization (11R27) Other combinatorial number theory (11B75) Finite abelian groups (20K01)

Cites Work

• Factorization in Dedekind domains with finite class group
• 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 non-unique factorizations into irreducible elements
• Zero-sumfree sequences in cyclic groups and some arithmetical application
• An addition theorem and its arithmetical application
• On minimum delta set values in block monoids over cyclic groups.
• On minimal distances in Krull monoids with infinite class group
• A Characterization of Algebraic Number Fields with Class Number Two
• Systems of sets of lengths. II
• Unnamed Item

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