@misc{10498/25418,
year = {2021},
month = {6},
url = {http://hdl.handle.net/10498/25418},
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.},
organization = {The first-named author was partially supported by the Spanish Projects MTM2016-80659-P and PID2019-105896GB-I00. The second and third-named authors were partially supported by the Spanish Project MTM2017-84890-P and Junta de Andalucia groups FQM-343 and FQM-366.},
publisher = {MDPI},
keywords = {generalized strongly increasing semigroup},
keywords = {strongly increasing semigroup},
keywords = {Frobenius number},
keywords = {Apéry set},
keywords = {singular analytic plane curve},
title = {Generalized Strongly Increasing Semigroups},
doi = {10.3390/math9121370},
author = {García Barroso, E.R. and García García, Juan Ignacio and Vigneron Tenorio, Alberto},
}