Gaps in nonsymmetric numerical semigroups.

DOI10.1007/s11856-010-0003-3zbMath1209.20057arXivmath/0703735OpenAlexW2025644846MaRDI QIDQ5962245

Francesca Aicardi, Leonid G. Fel

Publication date: 21 September 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703735

zbMATH Keywords

generating functionsFrobenius problemnumerical semigroupsFrobenius numbersnonsymmetric semigroups

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Commutative semigroups (20M14) The Frobenius problem (11D07) Arithmetic theory of semigroups (20M13)

Related Items (4)

Restricted partition functions and identities for degrees of syzygies in numerical semigroups ⋮ Duality relation for the Hilbert series of almost symmetric numerical semigroups. ⋮ On the geometry of the Frobenius problem ⋮ A short proof of Fel's theorems on 3-D Frobenius problem

Cites Work

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• Numerical semigroups of maximal and almost maximal length
• Frobenius problem for semigroups \(\mathbf S(d_1,d_2,d_3)\).
• One dimensional local rings of maximal and almost maximal length
• Cohen-Macaulay local rings of maximal embedding dimension
• Short generating functions for some semigroup algebras
• Combinatorics and commutative algebra.
• Numerical semigroups with Apéry sets of unique expression
• Generators and relations of abelian semigroups and semigroup rings
• Pseudo-symmetric numerical semigroups with three generators.
• Faster algorithms for Frobenius numbers
• Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains
• A Linear Diophantine Problem
• The frobenius number of some semigroups
• Combinatorial Commutative Algebra
• Local Rings of High Embedding Dimension
• Monomial Gorenstein ideals
• On numerical semigroups

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