#15223: Let the `TestSuite` test that the construction of a parent returns the
parent
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       Reporter:  SimonKing          |        Owner:
           Type:  defect             |       Status:  new
       Priority:  major              |    Milestone:  sage-5.12
      Component:  coercion           |   Resolution:
       Keywords:                     |    Merged in:
        Authors:                     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/SimonKing/ticket/15223           |  a81fcc1072df88cc369d7aa0b7ae423fd97d7f02
   Dependencies:                     |     Stopgaps:
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Comment (by nbruin):

 Replying to [comment:10 SimonKing]:

 > While we are at it, I thought one could improve `QuotientFunctor`. First
 of all, it ''must'' allow to pass additional arguments to the quotient
 being constructed. For example, the construction functor for
 `IntegerModRing(19, category=Fields())` must know that the category is
 specialised.

 Isn't that going to be a problem?
 {{{
 sage: A=IntegerModRing(19, category=Fields())
 sage: B=IntegerModRing(19)
 sage: B in Fields()
 True
 }}}
 After this isn't the category of `B` refined to fields? And doesn't that
 then mean that A and B are the same, and hence should be identical? But if
 !UniqueRepresentation takes the category argument into account, they won't
 be identical.

--
Ticket URL: <http://trac.sagemath.org/ticket/15223#comment:11>
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