#19956: elements of finite field algebraic closure are not hashable
-------------------------------------+-------------------------------------
       Reporter:  vdelecroix         |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.1
      Component:  finite rings       |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Vincent Delecroix  |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/vdelecroix/19956                 |  e130a3046fd99adaf92725605d9675eac0c5c0a2
   Dependencies:                     |     Stopgaps:
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Comment (by vdelecroix):

 Replying to [comment:12 jdemeyer]:
 > How does this interact with #17569?

 No interaction as far as I can see.

 > If finite fields will now embed by default in the algebraic closure, the
 hashes should be preserved.

 True. But it is disjoint from #17569, isn't it? Even without this patch
 hashes are incompatible by restriction to finite fields (except the prime
 field). It might be tricky to provide a coherent hash that would depend on
 the embedding... a (far from optimal) solution for finite field could be
 {{{
 def __hash__(self):
     cf = self._parent.coerce_embedding()
     if cf is not None:
         return hash(cf(self))
     else:
         ... old code ...
 }}}
 What do you think? But I would consider this as disjoint from this ticket.

--
Ticket URL: <http://trac.sagemath.org/ticket/19956#comment:13>
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