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Article

Generalized Strongly Increasing Semigroups

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Departamento de Matemáticas, Estadística e I.O. Sección de Matemáticas, Universidad de La Laguna, Apartado de Correos 456, 38200 La Laguna, Spain
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Department of Mathematics/INDESS (Instituto Universitario para el Desarrollo Social Sostenible), University of Cadiz, 11510 Puerto Real, Spain
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Department of Mathematics/INDESS (Instituto Universitario para el Desarrollo Social Sostenible), University of Cadiz, 11406 Jerez de la Frontera, Spain
*
Author to whom correspondence should be addressed.
Academic Editors: Alexei Kanel-Belov and Alexei Semenov
Mathematics 2021, 9(12), 1370; https://doi.org/10.3390/math9121370
Received: 3 May 2021 / Revised: 11 June 2021 / Accepted: 11 June 2021 / Published: 13 June 2021
(This article belongs to the Special Issue Combinatorial Algebra, Computation, and Logic)
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. View Full-Text
Keywords: generalized strongly increasing semigroup; strongly increasing semigroup; Frobenius number; Apéry set; singular analytic plane curve generalized strongly increasing semigroup; strongly increasing semigroup; Frobenius number; Apéry set; singular analytic plane curve
MDPI and ACS Style

García Barroso, E.R.; García-García, J.I.; Vigneron-Tenorio, A. Generalized Strongly Increasing Semigroups. Mathematics 2021, 9, 1370. https://doi.org/10.3390/math9121370

AMA Style

García Barroso ER, García-García JI, Vigneron-Tenorio A. Generalized Strongly Increasing Semigroups. Mathematics. 2021; 9(12):1370. https://doi.org/10.3390/math9121370

Chicago/Turabian Style

García Barroso, E. R., J. I. García-García, and A. Vigneron-Tenorio 2021. "Generalized Strongly Increasing Semigroups" Mathematics 9, no. 12: 1370. https://doi.org/10.3390/math9121370

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