On the asymptotic behavior of unions of sets of lengths in atomic monoids.

DOI10.2140/involve.2008.1.101zbMath1154.20049OpenAlexW2132362283MaRDI QIDQ940964

Natalie Hine, Scott Thomas Chapman, João Paixão, Paul Baginski

Publication date: 4 September 2008

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/involve.2008.1.101

zbMATH Keywords

irreducible elementslengths of factorizationselasticities of factorizationscommutative cancellative atomic monoidsnonunique factorizationsunions of sets of lengths

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05) Other combinatorial number theory (11B75) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items

Products of \(k\) atoms in Krull monoids, Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules, Unions of sets of lengths.