@misc{10498/21707,
year = {2019},
url = {http://hdl.handle.net/10498/21707},
abstract = {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.},
publisher = {SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK},
keywords = {Arf semigroup},
keywords = {embedding dimension},
keywords = {Frobenius number},
keywords = {genus},
keywords = {numerical semigroup},
keywords = {saturated semigroup},
title = {Perfect numerical semigroups},
author = {Moreno Frías, María Ángeles and Rosales, José Carlos},
}