Generalized strongly increasing semigroups
Commutative Algebra
2022-07-28 v1 Algebraic Geometry
Abstract
In this work we present a new class of numerical semigroups called GSI-semigroups. We see the relations between them and others families of semigroups and we give explicitly 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.
Cite
@article{arxiv.2003.13381,
title = {Generalized strongly increasing semigroups},
author = {E. R. García Barroso and J. I. García-García and A. Vigneron-Tenorio},
journal= {arXiv preprint arXiv:2003.13381},
year = {2022}
}