#11506: Fix the infinity ring.
-------------------------------------+-------------------------------------
       Reporter:  vbraun             |        Owner:  AlexGhitza
           Type:  defect             |       Status:  needs_review
       Priority:  blocker            |    Milestone:  sage-6.3
      Component:  algebra            |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Volker Braun       |    Reviewers:  Peter Bruin
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/vbraun/infinity_ring             |  cd9242959af9fda6d5351f8410889b36d6b6a392
   Dependencies:  13125              |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by pbruin):

 Replying to [comment:20 vbraun]:
 > `unsigned_infinity in RR` returns true because there are coercions RR ->
 signed infinity ring -> unsigned infinity ring:
 Yes, and I think that isn't a problem.
 > We could disallow the conversion RR(unsigned_infinity) but it would not
 change anything.
 Well, if I'm not mistaken, at least it would make `unsigned_infinity in
 RR` return False (because the conversion needs to succeed for this to
 return True), which was my point.

 It seems my last point wasn't very clear, so here an equivalent example
 without complex infinities:
 {{{
 sage: unsigned_infinity + unsigned_infinity
 Infinity
 sage: unsigned_infinity - unsigned_infinity
 ...
 ValueError: oo - oo not defined
 }}}
 I think we should raise an error for addition, i.e. make the code of
 `_add_()` work in an analogous way to that of `_sub_()`.  (Not that this
 was caused by your patch; the thing with the `+i` and `-i` just led me to
 this inconsistency.)

--
Ticket URL: <http://trac.sagemath.org/ticket/11506#comment:21>
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