Abstract
To a given numerical semigroup S we associate a family of subsemigroups \(\{\partial ^nS\}\), \(n\in {\mathbb {N}}\), that permits us to understand some of the structure of S. We characterize this family in case S is a supersymmetric numerical semigroup or S has maximal embedding dimension. We also prove some properties related to embedding dimension and certain symmetry of the minimal generating set of the members of this family.
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Communicated by Mikhail Volkov.
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Both of the authors are supported by the Grant Convocatoria Interna de Investigación 2019, Universidad Tecnológica de Bolívar, Código C2019P001.
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Arias, F., Borja, J. On some families of subsemigroups of a numerical semigroup. Semigroup Forum 102, 322–339 (2021). https://doi.org/10.1007/s00233-020-10148-9
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DOI: https://doi.org/10.1007/s00233-020-10148-9