@misc{10498/35651,
year = {2024},
url = {http://hdl.handle.net/10498/35651},
abstract = {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.},
publisher = {Institute of Mathematics of the Czech Academy of Sciences},
keywords = {Arf numerical semigroup},
keywords = {embedding dimension},
keywords = {Frobenius number},
keywords = {Frobenius restricted variety},
keywords = {genus},
keywords = {ideal},
keywords = {multiplicity},
keywords = {numerical semigroup},
keywords = {restricted Frobenius number},
keywords = {saturated semigroup},
title = {The lattice of ideals of a numerical semigroup and its Frobenius restricted variety associated},
doi = {10.21136/MB.2023.0038-23},
author = {Moreno Frías, María Ángeles and Rosales, J.C.},
}