The lattice of ideals of a numerical semigroup and its Frobenius restricted variety associated.

DOI10.21136/MB.2023.0038-23MaRDI QIDQ6648109

M. A. Moreno-Frías, José Carlos Rosales

Publication date: 4 December 2024

Published in: Mathematica Bohemica (Search for Journal in Brave)

zbMATH Keywords

multiplicityidealgenusembedding dimensionnumerical semigroupFrobenius numbersaturated semigroupArf numerical semigroupFrobenius restricted varietyrestricted Frobenius number

Mathematics Subject Classification ID

Commutative semigroups (20M14) Number-theoretic algorithms; complexity (11Y16)

Cites Work

• Title not available (Why is that?)
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• Decompositions of ideals into irreducible ideals in numerical semigroups.
• Algebro-geometric properties of saturated rings
• Numerical semigroups.
• Principal ideals of numerical semigroups.
• Frobenius restricted 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
• 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)
• General Theory of Saturation and of Saturated Local Rings II: Saturated Local Rings of Dimension 1
• Stable Ideals and Arf Rings
• Une Interprétation Algébrique de la Suite des Ordres de Multiplicité D'une Branche Algébrique
• Counting the ideals with given genus of a numerical semigroup

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