RT journal article
T1 A Partition of the Set of Numerical Semigroups Associated to Wilf's Conjecture
A1 Moreno Frías, María Ángeles
A1 Rosales, Jose Carlos
A2 Matemáticas
K1 Numerical semigroup
K1 Frobenius number
K1 genus
K1 embedding dimension
K1 Wilf’s conjecture
AB If S is a numerical semigroup, we denote by n(S) the cardinality ofN(S) = {s ∈ S | s < F(S)}, F(S) = max(Z\S) and by g(S) the cardinalityof N\S. Let q ∈ Q, q ≥ 1 and {k, F} ⊆ N\{0}. In this paper weintroduce the sets B(q) = {S | S is a numerical semigroupandg(S)n(S)= q}and A (k, F) = {S ∈ A (k) | F(S) = F}. The Wilf’s conjecture will bereformulated by these sets. Also we show two algorithms which computethe elements of the sets A (k, F) = {S ∈ A (k) | F(S) = F} andB(q, k) = {S | S is a numerical semigroup, g(S) = ak and n(S) = bk}.
PB Taylor and Francis Group
SN 1058-6458
YR 2025
FD 2025-07
LK http://hdl.handle.net/10498/38211
UL http://hdl.handle.net/10498/38211
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026