On Fri, Dec 16, 2016 at 5:55 AM, NITIN DARKUNDE <darkundeni...@gmail.com> wrote:
>
> Dear Group members,
>                        Suppose we have been given an ideal say 'I' in
> multivariate polynomial over a finite field. Then I know , the procedure to
> find a Groebner basis say 'G' of that ideal. Suppose we have one polynomial
> say f which is outside I as well as G, then can we find reduced form(i.e
> remainder of f) of f modulo G, using Sage, if so what is the procedure?
>                       Thanks.
>


Are you talking about reduce?

http://doc.sagemath.org/html/en/reference/polynomial_rings/sage/rings/polynomial/multi_polynomial_ideal.html



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> Yours faithfully,
> -----------------------------------------------------------------------
> Mr. Nitin Shridhar Darkunde.
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> Department of Mathematics,
> School of Mathematical Sciences,
> Swami Ramanand Teerth Marathwada University,
> Vishnupuri, Nanded-431 606 (M.S.), India.
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