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5.1.163 vdim

Syntax:
vdim ( ideal_expression )
vdim ( module_expression )
Type:
int
Purpose:
computes the vector space dimension of the ring, resp. free module, modulo the ideal, resp. module, generated by the initial terms of the given generators. If the generators form a standard basis, this is the same as the vector space dimension of the ring, resp. free module, modulo the ideal, resp. module.
If the ideal, resp. module, is not zero-dimensional, -1 is returned.
Example:
 
  ring r=0,(x,y),ds;
  ideal i=x2+y2,x2-y2;
  ideal j=std(i);
  vdim(j);
==> 4
See codim; degree; dim; ideal; kbase; mult; std.