@misc{10498/37315,
year = {2020},
url = {http://hdl.handle.net/10498/37315},
abstract = {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},
publisher = {Springer},
keywords = {Affine semigroup},
keywords = {modular Diophantine inequalities},
keywords = {numerical semigroup},
keywords = {proportionally modular numerical semigroup},
title = {A geometrical characterization of proportionally modular affine semigroups},
doi = {10.1007/s00025-020-01230-3},
author = {Díaz-Ramírez, Juan de Dios and García García, Juan Ignacio and Sánchez-Roselly Navarro, Alfredo and Vigneron Tenorio, Alberto},
}