THE LATTICE OF IDEALS OF A NUMERICAL SEMIGROUP AND ITS FROBENIUS RESTRICTED VARIETY ASSOCIATED.

Let 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 ∈ Δ. As a consequence, we obtain another algorithm that computes all the elements of J(Δ) with a fixed genus. 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. [ABSTRACT FROM AUTHOR]