RT journal article
T1 Semigroups with fixed multiplicity and embedding dimension
A1 García García, Juan Ignacio
A1 Marín Aragón, Daniel
A1 Moreno Frías, María Ángeles
A1 Rosales, José Carlos
A1 Vigneron Tenorio, Alberto
A2 Matemáticas
K1 Embedding dimension
K1 multiplicity
K1 numerical semigroup
K1 Frobenius number
K1 genus
AB Given m is an element of N, a numerical semigroup with multiplicity m is called a packed numerical semigroup if its minimal generating set is included in {m, m + 1 , ..., 2m - 1}. In this work, packed numerical semigroups are used to build the set of numerical semigroups with a given multiplicity and embedding dimension, and to create a partition of this set. Wilf's conjecture is verified in the tree associated to some packed numerical semigroups. Furthermore, given two positive integers m and e, some algorithms for computing the minimal Frobenius number and minimal genus of the set of numerical semigroups with multiplicity m and embedding dimension e are provided. We also compute the semigroups where these minimal values are achieved.
PB UP FAMNIT
SN 1855-3966
YR 2019
FD 2019
LK http://hdl.handle.net/10498/21965
UL http://hdl.handle.net/10498/21965
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026