@misc{10498/32538,
year = {2023},
url = {http://hdl.handle.net/10498/32538},
abstract = {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.},
publisher = {TUBITAK},
keywords = {algorithm},
keywords = {Arf numerical semigroup},
keywords = {Arf-sequence},
keywords = {covariety},
keywords = {Frobenius number},
keywords = {multiplicity},
keywords = {Numerical semigroup},
title = {The set of Arf numerical semigroups with given Frobenius number},
doi = {10.55730/1300-0098.3436},
author = {Moreno Frías, María Ángeles and Rosales, José Carlos},
}