RT info:eu-repo/semantics/article
T1 An extension of Wilf's conjecture to affine semigroups
A1 García García, Juan Ignacio
A1 Marín Aragón, Daniel
A1 Vigneron Tenorio, Alberto
K1 Affine semigroups
K1 Semigrupos afines
K1 Frobenius number
K1 Número de Frobenius
K1 Embedding dimension
K1 Dimensión de incrustación
K1 Wilf’s conjecture
K1 Conjetura de Wilf
AB Let C ⊂ Qp be a rational cone. An affine semigroup S ⊂ C is aC-semigroup whenever (C \ S) ∩ Np has only a finite number of elements.In this work, we study the tree of C-semigroups, give a method togenerate it and study their subsemigroups with minimal embedding dimension. We extend Wilf’s conjecture for numerical semigroups to C-semigroups and give some families of C-semigroups fulfilling the extendedconjecture. We also check that other conjectures on numerical semigroupsseem to be also satisfied by C-semigroups.
PB Springer Link
SN 1432-2137
YR 2018
FD 2018
LK http://uvadoc.uva.es/handle/10324/35968
UL http://uvadoc.uva.es/handle/10324/35968
LA eng
NO Semigroup Forum, 2018, vol. 96, n. 2. p. 396-408
NO Producción Científica
DS UVaDOC
RD 22-dic-2024