#11935: Make parent/element classes independent of base rings and the  category
graph consistent with method resolution
---------------------------+------------------------------------------------
   Reporter:  SimonKing    |          Owner:  nthiery                           
   
       Type:  enhancement  |         Status:  new                               
   
   Priority:  major        |      Milestone:  sage-4.7.3                        
   
  Component:  categories   |       Keywords:  parent class, element class, 
category
Work_issues:               |       Upstream:  N/A                               
   
   Reviewer:               |         Author:                                    
   
     Merged:               |   Dependencies:  #11900                            
   
---------------------------+------------------------------------------------
 At #11900 and [http://groups.google.com/group/sage-combinat-
 devel/browse_thread/thread/99c74827d704e677 sage-combinat-devel], as well
 as in some comments in sage/categories/category.py, the idea was discussed
 to make

  * `C.all_super_categories()` consistent with `C.parent_class.mro()` and
 `C.element_class.mro()`.
  * `Algebras(GF(3)).parent_class==Algebras(GF(5)).parent_class` - hence,
 make the parent/element classes as independent from the base of a category
 as possible.

 I think it should be fine to have both in one ticket.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11935>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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