On the enumeration of the set of saturated numerical semigroups of a given genus.

DOI10.1007/s00233-013-9558-8zbMath1307.20051OpenAlexW2053905374WikidataQ58842559 ScholiaQ58842559MaRDI QIDQ741652

D. Torrão, José Carlos Rosales, Manuel Batista Branco

Publication date: 12 September 2014

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-013-9558-8

zbMATH Keywords

genusFrobenius numberssaturated numerical semigroupsFrobenius varietiessaturated systems of generatorstrees of numerical semigroups

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05)

Related Items (1)

Perfect numerical semigroups

Uses Software

• GAP
• numericalsgps

Cites Work

• Algebro-geometric properties of saturated rings
• Numerical semigroups.
• Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains
• General Theory of Saturation and of Saturated Local Rings I: Saturation of Complete Local Domains of Dimension One Having Arbitrary Coefficient Fields (of Characteristic Zero)
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