Every positive integer is the Frobenius number of an irreducible numerical semigroup with at most four generators.

DOI10.1007/BF02385481zbMath1059.20059WikidataQ58842902 ScholiaQ58842902MaRDI QIDQ1880455

Pedro A. García Sánchez, José Carlos Rosales

Publication date: 28 September 2004

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

numbers of generatorsFrobenius numbersirreducible numerical semigroupsintersections of numerical semigroups

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05) The Frobenius problem (11D07)

Related Items (3)

Irreducible numerical semigroups with multiplicity three and four. ⋮ The Frobenius problem for numerical semigroups with multiplicity four. ⋮ Genus of numerical semigroups generated by three elements.

Uses Software

• NumericalSemigroupsWithGenus

Cites Work

• Unnamed Item
• The oversemigroups of a numerical semigroup.
• Decomposition of a numerical semigroup as an intersection of irreducible numerical semigroups.
• Numerical semigroups that can be expressed as an intersection of symmetric numerical semigroups
• Irreducible numerical semigroups.
• Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains
• On formulas for the Frobenius number of a numerical semigroup.
• On numerical semigroups

This page was built for publication: Every positive integer is the Frobenius number of an irreducible numerical semigroup with at most four generators.