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D.4.15.14 dimMon

Procedure from library monomialideal.lib (see monomialideal_lib).

Usage:
dimMon (I); I ideal

Return:
an integer, the dimension of the affine variety defined by the ideal I.
(returns -1 if I is not a monomial ideal)

Assume:
I is a monomial ideal of the basering.

Example:
 
LIB "monomialideal.lib";
ring R = 0,(w,x,y,z,t),lp;
ideal I = w^3*x*y,w*x*y*z*t,x^2*y^2*z^2,x^2*z^4*t^3,y^3*z;
dimMon (I);
==> 3
ideal J = w^4,x^3,y^4,z^2,t^6,w^2*x^2*y,w*z*t^4,x^2*y^3,z*t^5;
dimMon (J);
==> 0