Hi all!

On 2012-03-28, Nicolas M. Thiery <nicolas.thi...@u-psud.fr> wrote:
> On Wed, Mar 28, 2012 at 10:04:44AM -0700, Mark Shimozono wrote:
>> The fraction field of a Laurent polynomial ring S can't tell if one of
>> its elements is in S.

I recall that about two years ago I had opened a ticket on inversion and
fraction fields of power series rings. The bugs have been:

A)
  sage: R.<x> = ZZ[[]]
  sage: (1/x).parent()
  Laurent Series Ring in x over Integer Ring
  sage: (x/x).parent()
  Power Series Ring in x over Integer Ring
(Both parents are wrong, I believe, and to the very least the results
are inconsistent)

B)
  sage: (1/(2*x)).parent()
  <BOOM>

C)
  sage: F = FractionField(R)
  sage: 1/x in F
  False

If I remember correctly, I fixed all three bugs and even obtained a
speed-up. Unfortunately, the patch bit-rotted and would not apply
anymore.

I am talking about trac ticket #8972, if someone likes to have a look.

Best regards,
Simon


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