Counting the numerical semigroups with a specific special gap

DOI10.1080/00927872.2022.2082458OpenAlexW4286285442MaRDI QIDQ5038099

M. A. Moreno-Frías, José Carlos Rosales

Publication date: 29 September 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2022.2082458

zbMATH Keywords

gapgenusFrobenius numberirreducible numerical semigroup\(\mathcal{A}(a)\)-irreducible numerical semigroupANI-semigroupatomic numerical semigroup

Mathematics Subject Classification ID

Commutative semigroups (20M14) Number-theoretic algorithms; complexity (11Y16)

Uses Software

• NumericalSemigroupsWithGenus

Cites Work

• Unnamed Item
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• Towards a better understanding of the semigroup tree
• Symmetric numerical semigroups with arbitrary multiplicity and embedding dimension
• The tree of irreducible numerical semigroups with fixed Frobenius number
• The Frobenius number in the set of numerical semigroups with fixed multiplicity and genus
• Numerical Semigroups that Differ from a Symmetric Numerical Semigroup in One Element
• The enumeration of the set of atomic numerical semigroups with fixed Frobenius number
• On numerical semigroups

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