Re: [sage-support] Grobner bases in sage

[NITIN DARKUNDE]

Respected Sir,
 I am talking about remainder of f.

On Dec 16, 2016 6:17 PM, "David Joyner"  wrote:

> On Fri, Dec 16, 2016 at 5:55 AM, NITIN DARKUNDE 
> 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
>
>
>
> > --
> > --
> > Yours faithfully,
> > ---
> > Mr. Nitin Shridhar Darkunde.
> > Assistant Professor,
> > Department of Mathematics,
> > School of Mathematical Sciences,
> > Swami Ramanand Teerth Marathwada University,
> > Vishnupuri, Nanded-431 606 (M.S.), India.
> > Mob. No:08275268895Or09273500312
> > 
> >
> >
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Re: [sage-support] Grobner bases in sage

[David Joyner]

On Fri, Dec 16, 2016 at 5:55 AM, NITIN DARKUNDE  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



> --
> --
> Yours faithfully,
> ---
> Mr. Nitin Shridhar Darkunde.
> Assistant Professor,
> Department of Mathematics,
> School of Mathematical Sciences,
> Swami Ramanand Teerth Marathwada University,
> Vishnupuri, Nanded-431 606 (M.S.), India.
> Mob. No:08275268895Or09273500312
> 
>
>
> --
> You received this message because you are subscribed to the Google Groups
> "sage-support" group.
> To unsubscribe from this group and stop receiving emails from it, send an
> email to sage-support+unsubscr...@googlegroups.com.
> To post to this group, send email to sage-support@googlegroups.com.
> Visit this group at https://groups.google.com/group/sage-support.
> For more options, visit https://groups.google.com/d/optout.

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[sage-support] Grobner bases in sage

[NITIN DARKUNDE]

​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.

-- 
--
Yours faithfully,
---








*Mr. Nitin Shridhar Darkunde.Assistant Professor,Department of
Mathematics,School of Mathematical Sciences,Swami Ramanand Teerth
Marathwada University,Vishnupuri, Nanded-431 606 (M.S.), India.Mob.
No:08275268895Or
 09273500312*

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