This works but is too slow for more complicated examples. Is there a
way to speed up "x in I" for much bigger examples? Or does this
already use the fastest algorithm based on groebner basis or something
else.

On Sep 6, 9:22 pm, Alex Ghitza <[email protected]> wrote:
> On Mon, 6 Sep 2010 20:42:43 -0700 (PDT), Cary Cherng <[email protected]> 
> wrote:
> > Given p_i and q in Q[x_1,...,x_n] I want to see if q is in the ideal
> > (p1,...,pm). Does sage have easy support for this?
>
> Is this what you're looking for:
>
> sage: R.<x, y> = QQ[]
> sage: I = R.ideal(x^2, y)
> sage: x^2*y+y^2 in I
> True
> sage: x in I
> False
>
> Best,
> Alex
>
> --
> Alex Ghitza --http://aghitza.org/
> Lecturer in Mathematics -- The University of Melbourne -- Australia

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