%0 Journal Article 
%A García García, Juan Ignacio
%A Marín Aragón, Daniel
%A Vigneron Tenorio, Alberto
%T An extension of Wif's conjecture to affine semigroups
%D 2018
%@ 0037-1912
%U http://hdl.handle.net/10498/34502
%X 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 extended
conjecture. Other conjectures formulated for numerical semigroups are also studied for C-semigroups.
%K Affine semigroup
%K Embedding dimension
%K Frobenius number
%K Genus
%K Semigroup tree
%K Wilf’s conjecture
%~ Universidad de Cádiz