Genera of numerical semigroups and polynomial identities for degrees of syzygies

DOI10.1007/978-3-031-10796-2_8OpenAlexW3116593722MaRDI QIDQ2696029

Leonid G. Fel

Publication date: 5 April 2023

Full work available at URL: https://arxiv.org/abs/2012.13357

zbMATH Keywords

numerical semigroupsdegrees of syzygiesthe Frobenius number and genus

Mathematics Subject Classification ID

Commutative semigroups (20M14) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Elementary theory of partitions (11P81) Syzygies, resolutions, complexes and commutative rings (13D02)

Cites Work

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• On Frobenius numbers for symmetric (not complete intersection) semigroups generated by four elements
• Power sums related to semigroups \(S(d_1,d_2,d_3)\).
• Numerical semigroups.
• Symmetric semigroups of integers generated by 4 elements
• The umbral calculus
• 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 bettinumbers of finite pure and linear resolutions
• Symmetric (Not Complete Intersection) Semigroups Generated by Six Elements
• Symmetric (not Complete Intersection) Numerical Semigroups Generated by Six Elements
• Symmetric polynomials associated with numerical semigroups

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