Sorry again. Dependency needs over integer.
On 25 April 2010 16:06, Simon King <simon.k...@nuigalway.ie> wrote:
> 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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