RT journal article
T1 The lattice of ideals of a numerical semigroup and its Frobenius restricted variety associated
A1 Moreno Frías, María Ángeles
A1 Rosales, José Carlos
A2 Matemáticas
K1 Numerical semigroup
K1 ideal
K1 Frobenius restricted variety
K1 embedding dimensio
K1 Frobenius number
K1 restricted Frobenius number
K1 genus
K1 multiplicity
K1 Arf numerical semigroup
K1 saturated semigroup
AB Let  be a numerical semigroup. In this work we show that J (Δ) ={I ∪ {0}: I is an ideal of Δ} is a distributive lattice, which in addition is a Frobenius restrictedvariety. We give an algorithm which allows us to compute the set Ja(Δ) = {S  ∈J (Δ) : max(Δ\S) = a} for a given a  ∈ Δ. As a consequence, we obtain another algorithmthat computes all the elements of J (Δ) with a fixed genus.
PB Institute of Mathematics of the Czech Academy of Sciences
SN 2464-713
YR 2023
FD 2023
LK http://hdl.handle.net/10498/35380
UL http://hdl.handle.net/10498/35380
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026