Generalized Strongly Increasing Semigroups

E. R. García Barroso, J. I. García-García and A. Vigneron-Tenorio
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E. R. García Barroso: Departamento de Matemáticas, Estadística e I.O. Sección de Matemáticas, Universidad de La Laguna, Apartado de Correos 456, 38200 La Laguna, Spain
J. I. García-García: Department of Mathematics/INDESS (Instituto Universitario para el Desarrollo Social Sostenible), University of Cadiz, 11510 Puerto Real, Spain
A. Vigneron-Tenorio: Department of Mathematics/INDESS (Instituto Universitario para el Desarrollo Social Sostenible), University of Cadiz, 11406 Jerez de la Frontera, Spain

Mathematics, 2021, vol. 9, issue 12, 1-15

Abstract: In this work, we present a new class of numerical semigroups called GSI-semigroups. We see the relations between them and other families of semigroups and we explicitly give their set of gaps. Moreover, an algorithm to obtain all the GSI-semigroups up to a given Frobenius number is provided and the realization of positive integers as Frobenius numbers of GSI-semigroups is studied.

Keywords: generalized strongly increasing semigroup; strongly increasing semigroup; Frobenius number; Apéry set; singular analytic plane curve (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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