#9138: Categories for all rings
---------------------------------+------------------------------------------
   Reporter:  jbandlow           |          Owner:  nthiery                     
                  
       Type:  defect             |         Status:  needs_work                  
                  
   Priority:  major              |      Milestone:  sage-4.7.1                  
                  
  Component:  categories         |       Keywords:  introspection, categories 
for rings           
Work_issues:  Steenrod algebras  |       Upstream:  N/A                         
                  
   Reviewer:                     |         Author:  Simon King                  
                  
     Merged:                     |   Dependencies:  sage-4.7, #11268, #11139, 
#9976, #9944, #11269
---------------------------------+------------------------------------------

Comment(by SimonKing):

 In my first patch, I had introduced the test
 {{{
 sage: SteenrodAlgebra(2)['x'].category()
 Category of algebras over mod 2 Steenrod algebra
 }}}

 It was supposed to be a test for a polynomial ring over a non-commutative
 ring. But by your patch from #10052, the `__getitem__` method of a
 Steenrod algebra got a different meaning.

 I think the easiest solution (and probably the best solution as well would
 be to replace that test by a polynomial ring over a different non-
 commutative algebra, perhaps a matrix algebra.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9138#comment:69>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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