RT journal article
T1 The set of Arf numerical semigroups with given Frobenius number
A1 Moreno Frías, María Ángeles
A1 Rosales, José Carlos
A2 Matemáticas
K1 algorithm
K1 Arf numerical semigroup
K1 Arf-sequence
K1 covariety
K1 Frobenius number
K1 multiplicity
K1 Numerical semigroup
AB A covariety is a nonempty family C of numerical semigroups that satisfies a certain conditions. In this work we will show that if F is a positive integer, then the set of Arf numerical semigroup with Frobenius number F, denoted by Arf(F), is a covatiety. The previous results will be used to give an algorithm which calculates the set Arf(F). Also we will see that if X ⊆ S\Δ(F) for some S ∈ Arf(F), then there is the smallest element of Arf(F) containing X.
PB TUBITAK
SN 1303-6149
YR 2023
FD 2023
LK http://hdl.handle.net/10498/32538
UL http://hdl.handle.net/10498/32538
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 08-nov-2026