TY - GEN AU - Moreno Frías, María Ángeles AU - Rosales, J.C. A4 - Matemáticas PY - 2024 SN - 2464-7136 SN - 0862-7959 UR - http://hdl.handle.net/10498/35651 AB - 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(∆):... LA - eng PB - Institute of Mathematics of the Czech Academy of Sciences KW - Arf numerical semigroup KW - embedding dimension KW - Frobenius number KW - Frobenius restricted variety KW - genus KW - ideal KW - multiplicity KW - numerical semigroup KW - restricted Frobenius number KW - saturated semigroup TI - The lattice of ideals of a numerical semigroup and its Frobenius restricted variety associated DO - 10.21136/MB.2023.0038-23 ER -