#9054: create a class for basic function_field arithmetic for Sage
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    Reporter:  was                                                              
 |         Owner:  was          
        Type:  enhancement                                                      
 |        Status:  new          
    Priority:  major                                                            
 |     Milestone:  sage-wishlist
   Component:  algebra                                                          
 |    Resolution:               
    Keywords:                                                                   
 |   Work_issues:               
    Upstream:  N/A                                                              
 |      Reviewer:               
      Author:  William Stein, Robert Bradshaw, Maarten Derickx, Moritz Minzlaff 
 |        Merged:               
Dependencies:                                                                   
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Comment(by SimonKing):

 At [http://groups.google.com/group/sage-
 devel/browse_thread/thread/c62fa3dae0a2ca82 sage-devel], Maarten mentioned
 that pickling does not seem to work for the code posted here, which seems
 to be due to some attributes typically involved in coercion.

 Looking at [attachment:trac_9054-all-parts.patch], I see that the base
 class for function fields is derived from `sage.rings.ring.Field`, but
 `Field.__init__` is not called.

 The rings in vanilla Sage do not pay enough attention to coercion and
 categories. #9944 and (in particular) #9138 aim at improving the
 situation. In particular, with #9138 it should now possible to avoid any
 direct call to `ParentWithGens.__init__`; calling `Field.__init__` should
 just work (tm). Can you try?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9054#comment:35>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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