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5.1.41 finduni

Syntax:
finduni ( ideal_expression )
Type:
ideal
Purpose:
returns an ideal which is contained in the ideal_expression, such that the i-th generator is a univariate polynomial in the i-th ring variable.
The polynomials have minimal degree w.r.t. this property.
Assume:
The ideal must be zero-dimensional and given as a reduced Groebner basis in the current ring.
Example:
 
  ring  r=0,(x,y,z), dp;
  ideal i=y3+x2,x2y+x2,z4-x2-y;
  option(redSB);  // force computation of reduced basis
  i=std(i);
  ideal k=finduni(i);
  print(k);
==> x4-x2,
==> y4+y3,
==> z12
See option; ring; std; vdim.


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