The Frobenius problem for numerical semigroups

DOI10.1016/j.jnt.2011.05.011zbMath1262.11048OpenAlexW2022468054WikidataQ58842630 ScholiaQ58842630MaRDI QIDQ640865

Manuel Batista Branco, José Carlos Rosales

Publication date: 21 October 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.05.011

zbMATH Keywords

numerical semigroupFrobenius number

Mathematics Subject Classification ID

Commutative semigroups (20M14) The Frobenius problem (11D07)

Related Items (6)

Algorithms and basic asymptotics for generalized numerical semigroups in \(\mathbb N^d\) ⋮ On integer partitions corresponding to numerical semigroups ⋮ Two-Extension of a Numerical Semigroup with Embedding Dimension Two ⋮ On the variety of linear recurrences and numerical semigroups ⋮ COUNTING NUMERICAL SEMIGROUPS WITH SHORT GENERATING FUNCTIONS ⋮ Geometrical illustration of numerical semigroups and of some of their invariants.

Uses Software

• NumericalSemigroupsWithGenus

Cites Work

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• Numerical semigroups.
• Fundamental gaps of numerical semigroups generated by two elements.
• Proportionally modular Diophantine inequalities and full semigroups.
• A Linear Diophantine Problem
• On a linear Diophantine problem of Frobenius.

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