Hi!
On 25 Apr., 12:26, Santanu Sarkar <sarkar.santanu....@gmail.com>
wrote:
> I want to find linear dependence of the set polynomials {f1,f2,f1*f2,
> x1*f2,x2*f2}
'Linear over ZZ' or 'linear over R'?
If it is the latter, the following might help (but is only implemented
if you have polynomials over a field, not over ZZ):
sage: R.<x1,x2,x3>=QQ[]
sage: f1=1+x1+x2+x1*x2
sage: f2=1+x1+x3+x1*x3
sage: I = [f1,f2]*R
sage: I.syzygy_module()
[-x3 - 1 x2 + 1]
sage: (-x3 - 1)*f1+(x2 + 1)*f2
0
Cheers,
Simon
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