RT journal article
T1 An extension of Wif's conjecture to affine semigroups
A1 García García, Juan Ignacio
A1 Marín Aragón, Daniel
A1 Vigneron Tenorio, Alberto
A2 Matemáticas
K1 Affine semigroup
K1 Embedding dimension
K1 Frobenius number
K1 Genus
K1 Semigroup tree
K1 Wilf’s conjecture
AB Let C ⊂ Q_+^p 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 the C-semigroups with minimal embedding dimension.We extendWilf’s conjecture for numerical semigroups to C-semigroups and give some families of C-semigroups fulfilling the extendedconjecture. Other conjectures formulated for numerical semigroups are also studied for C-semigroups.
PB Springer
SN 0037-1912
YR 2018
FD 2018
LK http://hdl.handle.net/10498/34502
UL http://hdl.handle.net/10498/34502
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 07-nov-2026