#11900: Serious regression caused by #9138
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   Reporter:  SimonKing                                                         
        |          Owner:  tbd                  
       Type:  defect                                                            
        |         Status:  needs_work           
   Priority:  critical                                                          
        |      Milestone:  sage-4.8             
  Component:  performance                                                       
        |       Keywords:  categories regression
Work_issues:  Laurent series rings are fields. Add docs. Don't use is_ring and 
friends  |       Upstream:  N/A                  
   Reviewer:  Jeroen Demeyer, Nicolas M. ThiƩry                                 
        |         Author:  Simon King           
     Merged:                                                                    
        |   Dependencies:  #9138 #11911         
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Comment(by SimonKing):

 I really don't know. Do we want to properly initialise the category of a
 polynomial quotient ring? If we do, then we also need to provide it with
 implementations of `lift`, `ambient` and `retract`.

 So, I see two options:

  * Provide a polynomial quotient ring just with the category of
 commutative algebras over its base field, so that the test suites pass for
 now. Deal with a proper initialisation (adding lift, ambient, retract) as
 `Algebras(base_ring).Quotients()` on a different ticket.
  * Bloat this ticket up even more.

 I prefer the first approach. I want to get this ticket finally off my
 plate. I really need #9138, and the longer it has to wait, the worse.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11900#comment:130>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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