RT journal article
T1 The ratio-covariety of numerical semigroups having maximal embedding dimension with fixed multiplicity and Frobenius  number
A1 Moreno Frías, María Ángeles
A1 Rosales, José Carlos
A2 Matemáticas
K1 Numerical semigroup
K1 ratio-covariety
K1 Frobenius number
K1 genus
K1 multiplicity
K1 algorithm
AB In this paper we will show that MED(F,m) = {S | S is a numerical semigroup with maximal embedding dimension, Frobenius number F and multiplicity m} is a ratio-covariety. As a consequence, we present two algorithms: one that computes MED(F,m) and another one that calculates the elements of MED(F,m) with a given genus.If X ⊆ S\(<m> ∪ {F+1,->}) for some S ∈ MED(F,m), then there exists the smallest element of MED(F,m) containing X. This element will be denoted by MED(F,m)[X] and we will say that X one of its MED(F,m)-system of generators. We will prove that every element S of MED(F,m) has a unique minimalMED(F,m)-system of generators and it will be denoted by MED(F,m)msg(S). The cardinality of MED(F,m)msg(S), will be called MED(F,m)-rank of S. We will also see in this work, how all the elements of MED(F,m) with a fi xed MED(F,m)-rank are.
YR 2024
FD 2024
LK http://hdl.handle.net/10498/35414
UL http://hdl.handle.net/10498/35414
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026