Hi!

On 2014-09-18, Travis Scrimshaw <[email protected]> wrote:
>    Things like this have popped up in a few places, where doing things in a 
> fraction field over ZZ behaves much better than over QQ. I feel that 
> anytime we're constructing a fraction field from a ring R over a fraction 
> field F, we should make R over the ring used to construct F so reductions 
> (mainly gcd) are better behaved.

By coincidence, I have opened a ticket already, for the fact that 2/2*x
is automatically simplified in Frac(ZZ[x]) but not in Frac(QQ[x]).
Technically it is not a bug, since "simplification" usually means to
divide by the gcd of numerator and denominator (which is 1 in QQ[x], but
2 in ZZ[x]). However, simplification could/should also involve a
normalisation (when we are talking about fraction fields of polynomial
rings over a field, then both numerator and denominator should be made
monic). I suppose this would be enough to fix the hash problem.

See trac ticket #16993

Best regards,
Simon

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