Counting the ideals with given genus of a numerical semigroup

DOI10.1142/s0219498823300027zbMath1520.20119OpenAlexW4224231399MaRDI QIDQ6168659

José Carlos Rosales, M. A. Moreno-Frías

Publication date: 11 July 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823300027

zbMATH Keywords

multiplicityidealgenusnumerical semigroupFrobenius number\( \mathrm{I}(S)\)-semigroupordinary semigroup

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Commutative semigroups (20M14)

Cites Work

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• Partitions which are simultaneously \(t_1\)- and \(t_2\)-core
• Ideals of finitely generated commutative monoids
• The set of numerical semigroups of a given genus.
• Fibonacci-like growth of numerical semigroups of a given genus.
• Fibonacci-like behavior of the number of numerical semigroups of a given genus.
• Towards a better understanding of the semigroup tree
• On the linear diophantine problem of Frobenius.
• Irreducible ideals of finitely generated commutative monoids

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