Atoms of the set of numerical semigroups with fixed Frobenius number.

DOI10.1016/j.laa.2008.06.026zbMath1197.20049OpenAlexW2061948639WikidataQ58842652 ScholiaQ58842652MaRDI QIDQ957993

José Carlos Rosales

Publication date: 2 December 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.06.026

zbMATH Keywords

atomsnumerical semigroupsFrobenius numbersirreducible semigroups

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05) Representation of semigroups; actions of semigroups on sets (20M30) The Frobenius problem (11D07)

Related Items (3)

Counting the numerical semigroups with a specific special gap ⋮ On atoms of the set of generalized numerical semigroups with fixed corner element ⋮ The enumeration of the set of atomic numerical semigroups with fixed Frobenius number

Uses Software

• NumericalSemigroupsWithGenus

Cites Work

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• Irreducible numerical semigroups.
• Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains
• A Linear Diophantine Problem
• On the linear diophantine problem of Frobenius.
• The Value-Semigroup of a One-Dimensional Gorenstein Ring
• On a Problem of Partitions
• On numerical semigroups

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