Numerical semigroups without consecutive small elements

DOI10.1142/S0218196723500066OpenAlexW4307714820MaRDI QIDQ5877362

Márcio A. Traesel, Manuel Batista Branco, José Carlos Rosales

Publication date: 10 February 2023

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196723500066

zbMATH Keywords

multiplicitygenusFrobenius numberFrobenius varieties\(A\)-semigroupspseudo-varieties and \(R\)-varieties

Mathematics Subject Classification ID

Commutative semigroups (20M14) Semigroup rings, multiplicative semigroups of rings (20M25) The Frobenius problem (11D07)

Cites Work

• Numerical semigroups.
• Principal ideals of numerical semigroups.
• Frobenius restricted varieties in numerical semigroups
• Frobenius pseudo-varieties in 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. III. Saturation in Arbitrary Dimension and, in Particular, Saturation of Algebroid Hypersurfaces
• Parametrizing Arf numerical semigroups
• A problem of integer partitions and numerical semigroups
• Stable Ideals and Arf Rings
• Une Interprétation Algébrique de la Suite des Ordres de Multiplicité D'une Branche Algébrique
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