#12876: Fix element and parent classes of Hom categories to be abstract, and
simplify the Hom logic.
--------------------------------------------------------+-------------------
       Reporter:  nthiery                               |         Owner:  
nthiery                                                       
           Type:  enhancement                           |        Status:  
needs_work                                                    
       Priority:  major                                 |     Milestone:  
sage-5.1                                                      
      Component:  categories                            |    Resolution:        
                                                        
       Keywords:  categories, Hom                       |   Work issues:  Fix 
the review-nt patch, fix doctests in map.pyx and homset.py
Report Upstream:  N/A                                   |     Reviewers:  Simon 
King                                                    
        Authors:  Nicolas M. ThiƩry                     |     Merged in:        
                                                        
   Dependencies:  #715, #11521, #12875, #12877, #12215  |      Stopgaps:        
                                                        
--------------------------------------------------------+-------------------

Comment (by nthiery):

 Replying to [comment:35 SimonKing]:
 > I get four errors with `make ptestlong`:
 > ...
 > {{{
 > sage -t --long -force_lib "devel/sage/sage/categories/map.pyx"
 > **********************************************************************
 > File
 
"/mnt/local/king/SAGE/stable/sage-5.0.beta13/devel/sage/sage/categories/map.pyx",
 line 382:
 >     sage: phi.category()
 > Expected:
 >     Category of hom sets in Category of rings
 > Got:
 >     Category of hom sets in Category of sets
 > **********************************************************************
 > File
 
"/mnt/local/king/SAGE/stable/sage-5.0.beta13/devel/sage/sage/categories/map.pyx",
 line 388:
 >     sage: f.category()
 > Expected:
 >     Join of Category of hom sets in Category of rings and Category of
 hom sets in Category of modules over Rational Field
 > Got:
 >     Category of hom sets in Category of modules over Rational Field
 > **********************************************************************
 > }}}

 This looks like the errors I was getting when I had removed completely
 Rings.HomCategory. Can you double check that you have the latest
 version of the reviewer patch from trac and that categories/rings.py
 indeed has an (empty) class Rings.Homcategory?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12876#comment:37>
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