Numerical semigroups: Apéry sets and Hilbert series.

DOI10.1007/s00233-009-9133-5zbMath1200.20047OpenAlexW2012235676MaRDI QIDQ734976

Øystein J. Rødseth, Jorge Luis Ramírez Alfonsín

Publication date: 14 October 2009

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-009-9133-5

zbMATH Keywords

Hilbert seriesFrobenius numbersApéry setsAA-semigroupsalmost arithmetic progressionsalmost arithmetic semigroups

Mathematics Subject Classification ID

Commutative semigroups (20M14) Linear Diophantine equations (11D04) The Frobenius problem (11D07) Arithmetic theory of semigroups (20M13)

Related Items (16)

Cyclotomic exponent sequences of numerical semigroups ⋮ The Frobenius problem for numerical semigroups with embedding dimension equal to three ⋮ Unnamed Item ⋮ Chomp on numerical semigroups ⋮ Numerical semigroups. II: Pseudo-symmetric AA-semigroups. ⋮ Irreducible numerical semigroups with multiplicity three and four. ⋮ Unnamed Item ⋮ On the computation of the Apéry set of numerical monoids and affine semigroups ⋮ Frobenius numbers of numerical semigroups generated by three consecutive squares or cubes. ⋮ Frobenius vectors, Hilbert series and gluings of affine semigroups. ⋮ A ``pseudo-polynomial algorithm for the Frobenius number and Gröbner basis ⋮ The Frobenius number in the set of numerical semigroups with fixed multiplicity and genus ⋮ Factorization invariants in numerical monoids ⋮ Numerical Semigroups Generated by Squares and Cubes of Three Consecutive Integers ⋮ Cyclotomic Numerical Semigroups ⋮ On row-factorization relations of certain numerical semigroups

Cites Work

• Unnamed Item
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• Numerical semigroups with embedding dimension three.
• Frobenius problem for semigroups \(\mathbf S(d_1,d_2,d_3)\).
• On semi-regular finite continued fractions
• Noetherian symbolic blow-ups
• On the linear diophantine problem of Frobenius
• Short generating functions for some semigroup algebras
• Hilbert functions of monomial curves
• Complexity of the Frobenius problem
• Generators and relations of abelian semigroups and semigroup rings
• On Numerical Semigroups Generated by Generalized Arithmetic Sequences
• Note on Linear Forms
• A Linear Diophantine Problem
• Computing the Continuous Discretely
• Solution to a linear diophantine equation for nonnegative integers
• Diameters of weighted double loop networks
• On Prime Ideals with Generic Zero x i = t n i
• On the linear diophantine problem of Frobenius.
• On a linear Diophantine problem of Frobenius.
• On a linear Diophantine problem of Frobenius. II.
• A note on Symmetric Semigroups and almost arithmetic sequences
• On numerical semigroups

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