#19016: A more naive sage.structure.element.__hash__
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       Reporter:         |        Owner:
  ncohen                 |       Status:  needs_work
           Type:         |    Milestone:  sage-duplicate/invalid/wontfix
  defect                 |   Resolution:
       Priority:         |    Merged in:
  blocker                |    Reviewers:
      Component:  misc   |  Work issues:
       Keywords:         |       Commit:
        Authors:         |  754dc5794a1a7004c8844cf7cfb64220957c36a5
  Nathann Cohen          |     Stopgaps:
Report Upstream:  N/A    |
         Branch:         |
  u/ncohen/19016         |
   Dependencies:         |
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Comment (by vdelecroix):

 Replying to [comment:29 nbruin]:
 > Replying to [comment:26 vdelecroix]:
 > > I agree that they are related. But `__hash__` is problematic in other
 situations and two of them are mentioned in #18246. Solving the FP group
 problem will not solve everything as far as I understand it.
 >
 > Indeed, absolutely. And #18246 is now marked fixed. Another example is
 (of course) SR -- another ring where equality and normal form are
 impossible to resolve in general
 > {{{
 > sage: f=sin(x)^2
 > sage: g=1-cos(x)^2
 > sage: bool(f == g)
 > True
 > sage: hash(f) == hash(g)
 > False
 > }}}
 > so, hopefully, with #18246 , the last command will lead to an error?

 Sadly not
 {{{
 sage: f=sin(x)^2
 sage: isinstance(f, sage.structure.element.Element)
 True
 }}}
 `Element` does implement the `return hash(str(self))` behavior. So this
 will incidentally be fixed with this ticket...

--
Ticket URL: <http://trac.sagemath.org/ticket/19016#comment:30>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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