%0 Journal Article 
%A Díaz-Ramírez, Juan de Dios
%A García García, Juan Ignacio
%A Sánchez-Roselly Navarro, Alfredo
%A Vigneron Tenorio, Alberto
%T A geometrical characterization of proportionally modular affine semigroups
%D 2020
%@ 1422-6383
%U http://hdl.handle.net/10498/37315
%X A proportionally modular affine semigroup is the set of nonnegative integer solutions of a modular Diophantine inequality f1x1+ ···+fnxn mod b ≤ g1x1+ ···+ gnxn, where g1,...,gn, f1,...,fn∈ Z, and b ∈ N. In this work, a geometrical characterization of these semigroups is given. On the basis of this geometrical approach, some algorithms are provided to check if a semigroup S in N n, with N^n \ S a finite set, is a proportionally modular affine semigroup
%K Affine semigroup
%K modular Diophantine inequalities
%K numerical semigroup
%K proportionally modular numerical semigroup
%~ Universidad de Cádiz