Constructing the set of complete intersection numerical semigroups with a given Frobenius number.

DOI10.1007/s00200-013-0186-zzbMath1282.20064arXiv1204.4258OpenAlexW1974171366MaRDI QIDQ360195

Abdallah Assi, Pedro A. García Sánchez

Publication date: 26 August 2013

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4258

zbMATH Keywords

algorithmscomplete intersectionsmultiplicitiesgeneraFrobenius numbersembedding dimensionfree numerical semigroupscomplete intersection numerical semigroupsgluingsplane curve singularitiestelescopic numerical semigroups

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Commutative semigroups (20M14) Complete intersections (14M10)

Related Items (7)

Algorithms and basic asymptotics for generalized numerical semigroups in \(\mathbb N^d\) ⋮ The second Feng-Rao number for codes coming from telescopic semigroups ⋮ Universally free numerical semigroups ⋮ Frobenius vectors, Hilbert series and gluings of affine semigroups. ⋮ On robustness and related properties on toric ideals ⋮ Classes of complete intersection numerical semigroups. ⋮ numericalsgps, a GAP package for numerical semigroups

Uses Software

• GAP
• numericalsgps
• NumericalSemigroupsWithGenus
• cisimplicial

Cites Work

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• An algorithm for checking whether the toric ideal of an affine monomial curve is a complete intersection
• Fibonacci-like behavior of the number of numerical semigroups of a given genus.
• Complete intersections in affine monomial curves
• A Linear Diophantine Problem
• Sous-monoïdes d'intersection complète de $N$
• The minimum distance of codes in an array coming from telescopic semigroups
• AFFINE SEMIGROUPS HAVING A UNIQUE BETTI ELEMENT
• numericalsgps, a GAP package for numerical semigroups

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