%0 Journal Article 
%A Moreno Frías, María Ángeles
%A Rosales, J.C.
%T The lattice of ideals of a numerical semigroup and its Frobenius restricted variety associated
%D 2024
%@ 2464-7136

%U http://hdl.handle.net/10498/35651
%X Let ∆ be a numerical semigroup. In this work we show that J(∆) = {I ∪{0}: I is an ideal of ∆} is a distributive lattice, which in addition is a Frobenius restricted variety. We give an algorithm which allows us to compute the set Ja(∆) = {S ϵ J(∆): Max(∆\S) = a} for a given a ϵ ∆. As a consequence, we obtain another algorithm that computes all the elements of J(∆) with a fixed genus.
%K Arf numerical semigroup
%K embedding dimension
%K Frobenius number
%K Frobenius restricted variety
%K genus
%K ideal
%K multiplicity
%K numerical semigroup
%K restricted Frobenius number
%K saturated semigroup
%~ Universidad de Cádiz