%0 Journal Article 
%A Moreno Frías, María Ángeles
%A Rosales, José Carlos
%T The lattice of ideals of a numerical semigroup and its Frobenius restricted variety associated
%D 2023
%@ 2464-713

%U http://hdl.handle.net/10498/35380
%X 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 restricted
variety. 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 algorithm
that computes all the elements of J (Δ) with a fixed genus.
%K Numerical semigroup
%K ideal
%K Frobenius restricted variety
%K embedding dimensio
%K Frobenius number
%K restricted Frobenius number
%K genus
%K multiplicity
%K Arf numerical semigroup
%K saturated semigroup
%~ Universidad de Cádiz