RT journal article
T1 Perfect numerical semigroups
A1 Moreno Frías, María Ángeles
A1 Rosales, José Carlos
A2 Matemáticas
K1 Arf semigroup
K1 embedding dimension
K1 Frobenius number
K1 genus
K1 numerical semigroup
K1 saturated semigroup
AB A numerical semigroup is perfect if it does not have isolated gaps. In this paper we will order the perfectnumerical 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 numericalsemigroups, and we present the perfect monoid generated by a subset of N. We give an algorithm to calculate it. Westudy the perfect closure of a numerical semigroup, as well as the perfect numerical semigroup with maximal embeddingdimension, in particular Arf and saturated numerical semigroups.
PB SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK
SN 1300-0098
YR 2019
FD 2019
LK http://hdl.handle.net/10498/21707
UL http://hdl.handle.net/10498/21707
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 13-nov-2026