IRREDUCIBILITY IN THE SET OF NUMERICAL SEMIGROUPS WITH FIXED MULTIPLICITY

DOI10.1142/S0218196711006492zbMath1235.20053OpenAlexW1967119764WikidataQ58842621 ScholiaQ58842621MaRDI QIDQ3094335

Víctor Blanco, José Carlos Rosales

Publication date: 24 October 2011

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196711006492

zbMATH Keywords

numerical semigroupsFrobenius numbersintersections of irreducible semigroups\(m\)-irreducibility

Mathematics Subject Classification ID

Commutative semigroups (20M14) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) The Frobenius problem (11D07)

Related Items (6)

Irreducible numerical semigroups with multiplicity three and four. ⋮ The set of numerical semigroups of a given genus. ⋮ On the enumeration of the set of numerical semigroups with fixed Frobenius number. ⋮ The set of numerical semigroups of a given multiplicity and Frobenius number ⋮ An improved algorithm to compute the \(\omega\)-primality ⋮ Positioned numerical semigroups

Uses Software

• numericalsgps
• NumericalSemigroupsWithGenus

Cites Work

• Numerical semigroups.
• One-dimensional almost Gorenstein rings
• The oversemigroups of a numerical semigroup.
• Numerical semigroups that can be expressed as an intersection of symmetric numerical semigroups
• Irreducible numerical semigroups.

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