On 2014-02-27, etienne mann <[email protected]> wrote:
> Hi,
>
> is there a command for the "division for multivariable polynomials" ?
>
> for example 
> f= x^2*y+x*y^2+x+y+1
> g1=x*y-1
> g2=y^2-1
>
> we want to divide f by (g1,g2) with lexicographic order ?

You can do f.reduce(B), for B a Groebner basis of (g1,g2).
See e.g.
http://www.math.ucla.edu/~jimc/mathnet_d/sage/reference/sage/rings/polynomial/multi_polynomial_ideal.html
for an example.

HTH,
Dmitrii

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