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Título
An extension of Wilf's conjecture to affine semigroups
Año del Documento
2018
Editorial
Springer Link
Descripción
Producción Científica
Documento Fuente
Semigroup Forum, 2018, vol. 96, n. 2. p. 396-408
Abstract
Let C ⊂ Qp be a rational cone. An affine semigroup S ⊂ C is a
C-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 to
generate 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 extended
conjecture. We also check that other conjectures on numerical semigroups
seem to be also satisfied by C-semigroups.
Palabras Clave
Affine semigroups
Semigrupos afines
Frobenius number
Número de Frobenius
Embedding dimension
Dimensión de incrustación
Wilf’s conjecture
Conjetura de Wilf
ISSN
1432-2137
Revisión por pares
SI
Version del Editor
Propietario de los Derechos
© 2018 Springer
Idioma
eng
Derechos
openAccess
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