#15183: x in IntegralDomains() should refine category
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       Reporter:  saraedum           |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  minor              |    Milestone:  sage-6.0
      Component:  categories         |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Julian Rueth       |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/saraedum/ticket/15183            |  2282a39caa83c83ceef1000eb028014f5556a606
   Dependencies:  #14482             |     Stopgaps:
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Comment (by saraedum):

 Replying to [comment:12 nbruin]:
 > Really, by the time you've established that `Z/nZ` is an integral
 domain, you can refine it to field anyway (which is an integral domain).
 Sure, in the case of Z/nZ this is true. However, I tried to implement this
 on the level of categories, and I don't think that `IntegralDomains()`
 should try to refine to `Fields()`. One could of course implement this in
 `IntegerModRing` but I believe it is cleaner like this.

--
Ticket URL: <http://trac.sagemath.org/ticket/15183#comment:14>
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