#15223: Let the `TestSuite` test that the construction of a parent returns the
parent
-------------------------------------+-------------------------------------
       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 SimonKing):

 Replying to [comment:11 nbruin]:
 > 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?

 It is:
 {{{
 sage: A = IntegerModRing(19)
 sage: B = IntegerModRing(19,category=Fields())
 sage: A==B
 False
 sage: issubclass(type(A), Fields().parent_class)
 False
 sage: A in Fields()
 True
 sage: issubclass(type(A), Fields().parent_class)
 True
 }}}

 > And doesn't that then mean that A and B are the same,

 No, it doesn't (to my surprise, I actually thought they ''should'' be
 recognised as equal now):
 {{{
 sage: A==B
 False
 sage: type(A)==type(B)
 False
 sage: A.category() == B.category()
 False
 sage: A.category()
 Join of Category of fields and Category of subquotients of monoids and
 Category of quotients of semigroups and Category of finite enumerated sets
 sage: B.category()
 Join of Category of fields and Category of subquotients of monoids and
 Category of quotients of semigroups
 }}}

 > and hence should be identical? But if !UniqueRepresentation takes the
 category argument into account, they won't be identical.

 No, it is not !UniqueRepresentation:
 {{{
 sage: isinstance(A,UniqueRepresentation)
 False
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/15223#comment:13>
Sage <http://www.sagemath.org>
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