#9138: Categories for all rings
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   Reporter:  jbandlow                      |       Owner:  nthiery             
               
       Type:  defect                        |      Status:  needs_work          
               
   Priority:  major                         |   Milestone:  sage-4.7            
               
  Component:  categories                    |    Keywords:  introspection, 
categories for rings
     Author:  Simon King                    |    Upstream:  N/A                 
               
   Reviewer:                                |      Merged:                      
               
Work_issues:  Categories for more rings...  |  
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Comment(by SimonKing):

 It turned out that the notion of "coercion" was not used in the proper
 way, in sage.rings.polynomial.pbori. Namely, `_coerce_` was used to
 ''convert'' a boolean set into a boolean polynomial. That can not be
 called a coercion, since boolean sets have no parent (at least no parent
 that would allow for a coercion map). The old coercion model did not mind,
 but the new coercion model complains about those things.

 Moreover, there was a custom call method that first tried to call
 `self._coerce_(x)`. When one renames that call method to
 `_element_contructor_` (for the new coercion model) then one obtains an
 infinite recursion, because you need to evaluate the element constructor
 for constructing the `_coerce_` method.

 In other words, one needs to replace `P._coerce_(...)` and `P.coerce(...)`
 by either `P(...)` or by a direct call to `P._coerce_c_impl(...)`. This is
 what I'm trying now.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9138#comment:45>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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