RT journal article
T1 The covariety of numerical semigroups with fixed Frobenius number
A1 Moreno Frías, María Ángeles
A1 Rosales, José Carlos
A2 Matemáticas
K1 Numerical semigroup
K1 Covariety
K1 Frobenius number
K1 Genus
K1 Rank
K1 Multiplicity
K1 Algorithm
AB Denote by m(S) themultiplicity of a numerical semigroup S.A covariety is a nonemptyfamily C of numerical semigroups that fulfils the following conditions: there is theminimum of C , the intersection of two elements of C is again an element of C andS\{m(S)} ∈ C for all S ∈ C such that S  = min(C ). In this work we describean algorithmic procedure to compute all the elements of C . We prove that thereexists the smallest element of C containing a set of positive integers. We show thatA (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 thatthere is the smallest covariety containing a finite set of numerical semigroups.
PB Springer
SN 1572-9192
YR 2024
FD 2024
LK http://hdl.handle.net/10498/35381
UL http://hdl.handle.net/10498/35381
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026