#11943: The category graph should comply with Python's method resolution order
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   Reporter:  SimonKing    |          Owner:  nthiery                           
     
       Type:  enhancement  |         Status:  needs_review                      
     
   Priority:  major        |      Milestone:  sage-4.7.3                        
     
  Component:  categories   |       Keywords:  category graph, method resolution 
order
Work_issues:               |       Upstream:  N/A                               
     
   Reviewer:               |         Author:  Simon King                        
     
     Merged:               |   Dependencies:  #11900                            
     
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Comment(by nthiery):

 Replying to [comment:1 SimonKing]:
 > With the new test, I found a bug in algebra_ideals:
 > The problem is that the super categories of the category of algebra
 ideals should be the category of algebra modules. However, while the
 former accepts non-commutative algebras, the latter wants to see
 commutative algebras.
 > The clean way to proceed would be: Make algebra modules work over non-
 commutative rings. If that is too much of work, C.super_categories()
 should be `[]` if C is the category of algebra ideals over a non-
 commutative rings.

 +1. Actually my patch on #10963 is adding a TODO about it :-)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11943#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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