Families of numerical semigroups closed under finite intersections and for the Frobenius number

• Autores: José Carlos Rosales González
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 34, Nº 2, 2008, págs. 339-348
• Idioma: inglés
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• Resumen

  • In this paper, we introduce the concept of Frobenius variety. This notion generalizes several classes of numerical semigroups including Arf semigroups, sets of semigroups admitting certain patterns, saturated semigroups, and system proportionally modular numerical semigroups. We show that many of the properties that hold for these more specific classes of semigroups are satisfied by Frobenius varieties as well.