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5.1.38 fglmquot
Syntax:
fglmquot ( ideal_expression, poly_expression )
Type:
- ideal
Purpose:
- computes a reduced Groebner basis of the ideal quotient
I:p of
a zero-dimensional ideal I and a polynomial p using
FGLM-techniques.
Assume:
- The ideal must be zero-dimensional and given as a reduced Groebner
basis in the given ring. The polynomial must be reduced with respect to the
ideal.
Example:
| | ring r=0,(x,y,z),lp;
ideal i=y3+x2,x2y+x2,x3-x2,z4-x2-y;
option(redSB); // force the computation of a reduced SB
i=std(i);
poly p=reduce(x+yz2+z10,i);
ideal j=fglmquot(i,p);
j;
==> j[1]=z12
==> j[2]=yz4-z8
==> j[3]=y2+y-z8-z4
==> j[4]=x+y-z10-z6-z4
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See
fglm;
option;
quotient;
ring;
std;
vdim.
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