RT info:eu-repo/semantics/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
K1 Frobenius number
K1 Número de Frobenius
K1 Multiplicity
K1 Multiplicidad
K1 Numerical semigroups
K1 Semigrupos numéricos
AB Given m ∈ N, a numerical semigroup with multiplicity m is called a packed numericalsemigroup if its minimal generating set is included in {m, m + 1, . . . , 2m − 1}. In thiswork, packed numerical semigroups are used to build the set of numerical semigroupswith 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 theminimal Frobenius number and minimal genus of the set of numerical semigroups with multiplicity m and embedding dimension e are provided. We also compute the semigroupswhere these minimal values are achieved
PB DMFA Slovenije
SN 1855-3974
YR 2019
FD 2019
LK http://uvadoc.uva.es/handle/10324/40809
UL http://uvadoc.uva.es/handle/10324/40809
LA eng
NO Ars Mathematica Contemporanea, 2019, vol. 17, n. 2. p. 397-417
NO Producción Científica
DS UVaDOC
RD 22-dic-2024