Restricted partition functions and identities for degrees of syzygies in numerical semigroups

DOI10.1007/s11139-017-9904-7zbMath1433.20016OpenAlexW2611200761MaRDI QIDQ1676094

Leonid G. Fel

Publication date: 3 November 2017

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-017-9904-7

zbMATH Keywords

Hilbert seriesnumerical semigroupsBetti numbers

Mathematics Subject Classification ID

Commutative semigroups (20M14) Elementary theory of partitions (11P81)

Related Items (7)

On Frobenius numbers for symmetric (not complete intersection) semigroups generated by four elements ⋮ Restricted partition functions and identities for degrees of syzygies in numerical semigroups ⋮ Symmetric (Not Complete Intersection) Semigroups Generated by Six Elements ⋮ Genera of numerical semigroups and polynomial identities for degrees of syzygies ⋮ Symmetric (not Complete Intersection) Numerical Semigroups Generated by Six Elements ⋮ Square-free divisor complexes of certain numerical semigroup elements ⋮ Symmetric polynomials associated with numerical semigroups

Uses Software

• numericalsgps

Cites Work

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• numericalsgps, a GAP package for numerical semigroups
• The Value-Semigroup of a One-Dimensional Gorenstein Ring
• Monomial Gorenstein ideals
• Gaps in nonsymmetric numerical semigroups.

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