On Wednesday, October 18, 2017 at 9:28:50 AM UTC+1, Robin van der veer 
wrote:
>
> Hello,
>
> If I have, say,
>
>  R = PolynomialRing(QQ, 'x', 5) 
>
> And I have two polynomials, one of which divides the other. Then I can do
> f/g
> but the result will be an element of the fraction field of R, even though 
> it actually lives in R. I can write
> (f/g).numerator()
> to get back to R, but I feel that this shouldn't be necessary. Is there 
> some way to perform this division and stay in R?
>

Please provide a concrete example showing this. Indeed, I think  (f/g).
numerator() will be in R.

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