Duality relation for the Hilbert series of almost symmetric numerical semigroups.

DOI10.1007/s11856-011-0117-2zbMath1268.20062arXiv0808.2297OpenAlexW2017517302MaRDI QIDQ1758941

Leonid G. Fel

Publication date: 19 November 2012

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

Full work available at URL: https://arxiv.org/abs/0808.2297

zbMATH Keywords

generating setsHilbert seriesBetti numbersalmost symmetric numerical semigroupssyzygies, embedding dimension

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (5)

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 ⋮ 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

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• Pseudo-symmetric numerical semigroups with three generators.
• A note on the concept of multiset
• The Geometry of Syzygies
• Some Examples of one Dimensional Gorenstein Domains
• Gaps in nonsymmetric numerical semigroups.

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