@misc{10498/35381,
year = {2024},
url = {http://hdl.handle.net/10498/35381},
abstract = {Denote by m(S) themultiplicity of a numerical semigroup S.A covariety is a nonempty
family C of numerical semigroups that fulfils the following conditions: there is the
minimum of C , the intersection of two elements of C is again an element of C and
S\{m(S)} ∈ C for all S ∈ C such that S  = min(C ). In this work we describe
an algorithmic procedure to compute all the elements of C . We prove that there
exists the smallest element of C containing a set of positive integers. We show that
A (F) = {S | S is a numerical semigroup with Frobenius number F} is a covariety,
and we particularize the previous results in this covariety. Finally, we will see that
there is the smallest covariety containing a finite set of numerical semigroups.},
publisher = {Springer},
keywords = {Numerical semigroup},
keywords = {Covariety},
keywords = {Frobenius number},
keywords = {Genus},
keywords = {Rank},
keywords = {Multiplicity},
keywords = {Algorithm},
title = {The covariety of numerical semigroups with fixed Frobenius number},
doi = {10.1007/S10801-024-01342-X},
author = {Moreno Frías, María Ángeles and Rosales, José Carlos},
}