RT journal article
T1 Generalized Strongly Increasing Semigroups
A1 García Barroso, E.R.
A1 García García, Juan Ignacio
A1 Vigneron Tenorio, Alberto
A2 Matemáticas
K1 generalized strongly increasing semigroup
K1 strongly increasing semigroup
K1 Frobenius number
K1 Apéry set
K1 singular analytic plane curve
AB 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.
PB MDPI
SN 2227-7390
YR 2021
FD 2021-06
LK http://hdl.handle.net/10498/25418
UL http://hdl.handle.net/10498/25418
LA eng
NO 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.
DS Repositorio Institucional de la Universidad de Cádiz
RD 13-nov-2026