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Numerical semigroups with embedding dimension three

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Abstract.

Every numerical semigroup generated by three elements is determined by six positive integers that are the solution to a system of three polynomial equations. We give formulas of the Frobenius number and the cardinality of the set of gaps in terms of these six parameters.

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Authors and Affiliations

  1. Departamento de Álgebra, Universidad de Granada, E-18071, Granada, Spain

    J. C. Rosales & P. A. García-Sáanchez

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  1. J. C. Rosales
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  2. P. A. García-Sáanchez
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Correspondence to J. C. Rosales.

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Received: 6 November 2003

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Rosales, J.C., García-Sáanchez, P.A. Numerical semigroups with embedding dimension three. Arch. Math. 83, 488–496 (2004). https://doi.org/10.1007/s00013-004-1149-1

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  • DOI: https://doi.org/10.1007/s00013-004-1149-1

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