%0 Journal Article 
%A Moreno Frías, María Ángeles
%A Rosales, José Carlos
%T Perfect numerical semigroups
%D 2019
%@ 1300-0098
%U http://hdl.handle.net/10498/21707
%X A numerical semigroup is perfect if it does not have isolated gaps. In this paper we will order the perfect
numerical semigroups with a fixed multiplicity. This ordering allows us to give an algorithm procedure to obtain them.
We also study the perfect monoid, which is a subset of N that can be expressed as an intersection of perfect numerical
semigroups, and we present the perfect monoid generated by a subset of N. We give an algorithm to calculate it. We
study the perfect closure of a numerical semigroup, as well as the perfect numerical semigroup with maximal embedding
dimension, in particular Arf and saturated numerical semigroups.
%K Arf semigroup
%K embedding dimension
%K Frobenius number
%K genus
%K numerical semigroup
%K saturated semigroup
%~ Universidad de Cádiz