Thanks!  But the question remains, how do I force the addition  1/x +
1/y  to give  (x+y)/(x*y) ?

Also, where do I find such a command as fraction_field?  I searched
the tutorial and it seems to be missing.  Thus I conclude that the
tutorial is not to be taken as exhaustive - reasonable but where then
to look?

On Aug 30, 11:06 am, Alastair Irving <alastair.irv...@sjc.ox.ac.uk>
wrote:
> On 30/08/11 14:59, MathLynx wrote:
>
> > (1) How does one define a field of rational functions in several
> > variables?  QQ[x,y] gives me the ring of polynomials in x&  y over QQ,
> > but 2*x/y is not in this ring.
>
> R.<x,y>=PolynomialRing(QQ)
> K=R.fraction_field()
>
> HTH
>
> Alastair

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