RT info:eu-repo/semantics/article
T1 Perfect numerical semigroups
A1 Moreno-Frías, M.A.
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 24-ene-2021