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Numerical semigroups. II: Pseudo-symmetric AA-semigroups.

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Publication:335626
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DOI10.1016/j.jalgebra.2016.09.027zbMath1348.05020arXiv1601.07337OpenAlexW2962719313MaRDI QIDQ335626

Øystein J. Rødseth, Ignacio García-Marco, Jorge Luis Ramírez Alfonsín

Publication date: 2 November 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.07337


zbMATH Keywords

genusCohen-Macaulay typenumerical semigroupFrobenius numberApéry setpseudo-symmetry


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Commutative semigroups (20M14) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)


Related Items

A ``pseudo-polynomial algorithm for the Frobenius number and Gröbner basis ⋮ Unnamed Item



Cites Work

  • Numerical semigroups: Apéry sets and Hilbert series.
  • Irreducible numerical semigroups.
  • Pseudo-symmetric numerical semigroups with three generators.
  • Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains
  • On the linear diophantine problem of Frobenius.
  • On a linear Diophantine problem of Frobenius. II.
  • On numerical semigroups


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