%0 Journal Article 
%A García Barroso, E.R.
%A García García, Juan Ignacio
%A Vigneron Tenorio, Alberto
%T Generalized Strongly Increasing Semigroups
%D 2021
%@ 2227-7390
%U http://hdl.handle.net/10498/25418
%X 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.
%K generalized strongly increasing semigroup
%K strongly increasing semigroup
%K Frobenius number
%K Apéry set
%K singular analytic plane curve
%~ Universidad de Cádiz