#17740: Division of modules by basering elements should not pass to the fraction
field.
-------------------------------------+-------------------------------------
       Reporter:  robertwb           |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.5
      Component:  coercion           |   Resolution:
       Keywords:                     |    Merged in:
        Authors:                     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:  u/robertwb         |       Commit:
  /coerce-div                        |  6a507b79f14c7db4f28ac841996cc2ef3d1ba71d
   Dependencies:                     |     Stopgaps:
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Comment (by robertwb):

 Yes, I've actually been thinking about that as well, and I'm not sure
 exactly how best to handle this. GF(5)['x']['y'] is a GF(5)-module but
 represented as a GF(5)['x']-module. Or, put otherwise, (most) elements of
 ZZ have an inverse in GF(5); we want to take the most conservative inverse
 possible.

 I used to be very against partial coercions like QQ -> GF(p), but I'm not
 as sure anymore.

--
Ticket URL: <http://trac.sagemath.org/ticket/17740#comment:6>
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