Fundamental gaps in numerical semigroups.

DOI10.1016/j.jpaa.2003.10.024zbMath1070.20072OpenAlexW2118098358WikidataQ58842915 ScholiaQ58842915MaRDI QIDQ1434780

J. A. Jiménez Madrid, José Carlos Rosales, Pedro A. García Sánchez, Juan Ignacio García García

Publication date: 12 July 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2003.10.024

zbMATH Keywords

numerical semigroupsFrobenius numbersfundamental gaps

Mathematics Subject Classification ID

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

Related Items (23)

Unnamed Item ⋮ A sequence of quasipolynomials arising from random numerical semigroups ⋮ On the saturated numerical semigroups ⋮ Towards a better understanding of the semigroup tree ⋮ Constructing the set of complete intersection numerical semigroups with a given Frobenius number. ⋮ Coefficient rings of numerical semigroup algebras ⋮ Supersymmetric gaps of a numerical semigroup with two generators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some properties of affine \({\mathcal{C}}\)-semigroups ⋮ Characterization of sets K for which \(H_K^\infty(\mathbb{D})\) is an algebra ⋮ On the enumeration of the set of numerical semigroups with fixed Frobenius number. ⋮ The arithmetic extensions of a numerical semigroup ⋮ Near-misses in Wilf's conjecture ⋮ Computation of numerical semigroups by means of seeds ⋮ Fundamental gaps of numerical semigroups generated by two elements. ⋮ Gapsets and numerical semigroups ⋮ Numerical semigroups with a given set of pseudo-Frobenius numbers ⋮ The right-generators descendant of a numerical semigroup ⋮ Bounds on the number of numerical semigroups of a given genus ⋮ COUNTING NUMERICAL SEMIGROUPS WITH SHORT GENERATING FUNCTIONS ⋮ Unnamed Item ⋮ numericalsgps, a GAP package for numerical semigroups

Uses Software

• NumericalSemigroupsWithGenus

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical semigroups that can be expressed as an intersection of symmetric numerical semigroups
• Irreducible numerical semigroups.
• On symmetric numerical semigroups
• Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains
• SYSTEMS OF INEQUALITIES AND NUMERICAL SEMIGROUPS
• A Linear Diophantine Problem
• On the linear diophantine problem of Frobenius.
• On a Problem of Partitions
• On numerical semigroups

This page was built for publication: Fundamental gaps in numerical semigroups.