On Sunday, April 15, 2018 at 9:27:40 PM UTC+1, vdelecroix wrote:
>
> The representation is indeed not canonical but the object compare 
> coherently 
>
> sage: R.<t>=QQ[] 
> sage: (2*t+2)/(2*t) 
> (2*t + 2)/(2*t) 
> sage: (2*t+2)/(2*t) == (t+1)/t 
> True 
>
> The reason is that 2 is a unit in QQ. You can compare with 
>
> sage: R.<t>=ZZ[] 
> sage: (2*t+2)/(2*t) 
> (t + 1)/t 
>
> It would be nice to have better simplification rules for QQ (and more 
> generally fraction fields). 
>

I suppose it's only OK to have as an option, as in general computing such a 
canonical
form would be slow, no?

Dima 

>
> Vincent 
>
> On 15/04/2018 21:37, dhr wrote: 
> > Hi 
> > 
> > Reduction of rational functions seems not to work in specific cases. 
> > In the following output, 
> > 
> > =================== 
> > sage: R.<t>=QQ[] 
> > sage: (2*t+2)/(2*t) 
> > (2*t + 2)/(2*t) 
> > sage: (2*t+2)/(2) 
> > t + 1 
> > sage: (2*t^2+2*t)/(2*t) 
> > t + 1 
> > 
> > =================== 
> > 2 is not reduced in the first calculation. 
> > 
> > SageMath version 8.1 
> > 
>

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