@misc{10481/95629, year = {2023}, month = {10}, url = {https://hdl.handle.net/10481/95629}, abstract = {Let Δ 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 2 Δ. As a consequence, we obtain another algorithm that computes all the elements of J (Δ) with a fixed genus.}, organization = {Junta de Andalucía groups FQM-298 and FQM-343}, organization = {Proyecto de Excelencia de la Junta de Andalucía ProyExcel 00868}, organization = {Proyecto de investigación del Plan Propio–UCA 2022-2023 (PR2022-011)}, organization = {Proyecto de investigación del Plan Propio–UCA 2022-2023 (PR2022-004)}, publisher = {Akademie věd České republiky}, 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 González, José Carlos}, }