RT journal article
T1 The lattice of ideals of a numerical semigroup and its Frobenius restricted variety associated
A1 Moreno Frías, María Ángeles
A1 Rosales, J.C.
A2 Matemáticas
K1 Arf numerical semigroup
K1 embedding dimension
K1 Frobenius number
K1 Frobenius restricted variety
K1 genus
K1 ideal
K1 multiplicity
K1 numerical semigroup
K1 restricted Frobenius number
K1 saturated semigroup
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(∆): 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.
PB Institute of Mathematics of the Czech Academy of Sciences
SN 2464-7136
YR 2024
FD 2024
LK http://hdl.handle.net/10498/35651
UL http://hdl.handle.net/10498/35651
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026