RT journal article
T1 A geometrical characterization of proportionally modular affine semigroups
A1 Díaz-Ramírez, Juan de Dios
A1 García García, Juan Ignacio
A1 Sánchez-Roselly Navarro, Alfredo
A1 Vigneron Tenorio, Alberto
A2 Ingeniería Informática
A2 Matemáticas
K1 Affine semigroup
K1 modular Diophantine inequalities
K1 numerical semigroup
K1 proportionally modular numerical semigroup
AB 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
PB Springer
SN 1422-6383
YR 2020
FD 2020
LK http://hdl.handle.net/10498/37315
UL http://hdl.handle.net/10498/37315
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-nov-2026