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Delta sets for symmetric numerical semigroups with embedding dimension three

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Abstract

This work extends the results known for the Delta sets of non-symmetric numerical semigroups with embedding dimension three to the symmetric case. Thus, we have a fast algorithm to compute the Delta set of any embedding dimension three numerical semigroup. Also, as a consequence of these results, the sets that can be realized as Delta sets of numerical semigroups of embedding dimension three are fully characterized.

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Authors and Affiliations

  1. Departamento de Álgebra and IEMath-GR, Universidad de Granada, 18071, Granada, Spain

    P. A. García-Sánchez

  2. Departamento de Matemáticas, Universidad de Almería, 04120, Almería, Spain

    D. Llena

  3. Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127, Pisa, Italy

    A. Moscariello

Authors
  1. P. A. García-Sánchez
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  2. D. Llena
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  3. A. Moscariello
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Corresponding authors

Correspondence to P. A. García-Sánchez or D. Llena.

Additional information

P. A. García-Sánchez and D. Llena are supported by the project FQM-343, MTM2014-55367-P, and FEDER funds.

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García-Sánchez, P.A., Llena, D. & Moscariello, A. Delta sets for symmetric numerical semigroups with embedding dimension three. Aequat. Math. 91, 579–600 (2017). https://doi.org/10.1007/s00010-017-0474-y

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  • DOI: https://doi.org/10.1007/s00010-017-0474-y

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