@misc{10498/35380,
year = {2023},
url = {http://hdl.handle.net/10498/35380},
abstract = {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.},
publisher = {Institute of Mathematics of the Czech Academy of Sciences},
keywords = {Numerical semigroup},
keywords = {ideal},
keywords = {Frobenius restricted variety},
keywords = {embedding dimensio},
keywords = {Frobenius number},
keywords = {restricted Frobenius number},
keywords = {genus},
keywords = {multiplicity},
keywords = {Arf numerical semigroup},
keywords = {saturated semigroup},
title = {The lattice of ideals of a numerical semigroup and its Frobenius restricted variety associated},
author = {Moreno Frías, María Ángeles and Rosales, José Carlos},
}