#8389: Implement MatrixSpace(...)['x']
-------------------------------------+-------------------------------------
       Reporter:  mmezzarobba        |        Owner:  AlexGhitza
           Type:  defect             |       Status:  needs_review
       Priority:  minor              |    Milestone:  sage-6.2
      Component:  algebra            |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Marc Mezzarobba    |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/mmezzarobba/8389-ring_getitem    |  f4abe5d7ff07f6b7c2f83c8a0d993465ec755fed
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by nthiery):

 Replying to [comment:13 mmezzarobba]:
 > No, that was on purpose: the TODO was part of the SEEALSO block. But I
 added the missing cross-references and removed the TODO line altogether.
 (I'll push the new commit in a moment.)
 > >   - Is Frac nicer than .fraction_field()?
 >
 > No idea, I didn't touch this part `:-)`.
 > Let's mention both.
 >
 > > - Doc of _gen_names, line 2: replacing {{{ZZ['x']}}} by
 {{{ZZ[sqrt(5)]}}} could make it more meaninful?
 >
 > Same thing here.

 Ok. I double checked your changes and am happy with them!

 > I believe `M[sqrt(5)]` would make sense, and I wouldn't mind deprecating
 the notation `parent[integer]` (as a way of enumerating the elements). But
 I'd rather do that in another ticket.

 Fair enough :-) Do you mind creating a ticket for this task?

 > > By the way: shall we use the occasion to also move
 {{{PrincipalIdealDomain.__getitem__}}} in the corresponding category? Or
 are there some principal ideal domains in Sage that are not yet in the
 {{{PrincipalIdealDomains}}} category?
 > >
 > > Speaking of this method: its documentation says "Create a polynomial
 or power series ring over ``self`` and inject the variables into the
 global module scope."; the latter statement is wrong, right?
 >
 > What method are you talking about?

 Sorry, I confused myself with Ring.__getitem__ from another branch ...

 Btw: what do you think we should do with IntegerRing.__getitem__ which
 calls explicitly PrincipalIdealDomains.__getitem__? Just leave it as
 it is?

 Cheers,
                            Nicolas

--
Ticket URL: <http://trac.sagemath.org/ticket/8389#comment:16>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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