
D.15.3 cimonom_lib
 Library:
 cimonom.lib
 Purpose:
 Determines if the toric ideal of an affine monomial curve is a complete intersection
 Authors:
 I.Bermejo, ibermejo@ull.es
I.GarciaMarco, iggarcia@ull.es
J.J.SalazarGonzalez, jjsalaza@ull.es
 Overview:
 A library for determining if the toric ideal of an affine monomial curve is a complete intersection with NO
NEED of computing explicitly a system of generators of such ideal. It also contains procedures to obtain the
minimum positive multiple of an integer which is in a semigroup of positive integers.
The procedures are based on a paper by Isabel Bermejo, Ignacio Garcia and Juan Jose SalazarGonzalez: 'An
algorithm to check whether the toric ideal of an affine monomial curve is a complete intersection', Preprint.
Procedures:
D.15.3.1 BelongSemig   checks whether n is in the semigroup generated by v; 
D.15.3.2 MinMult   computes k, the minimum positive integer such that k*a is in the semigroup of positive integers generated by the elements in b. 
D.15.3.3 CompInt   checks wether I(d) is a complete intersection or not. 
See also:
Integer programming.
