#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_review                  
       Priority:  major                                 |     Milestone:  
sage-5.1                      
      Component:  categories                            |    Resolution:        
                        
       Keywords:  categories, Hom                       |   Work issues:  Fix 
ring_refcount_dict problem
Report Upstream:  N/A                                   |     Reviewers:  Simon 
King                    
        Authors:  Nicolas M. ThiƩry                     |     Merged in:        
                        
   Dependencies:  #715, #11521, #12875, #12877, #12215  |      Stopgaps:        
                        
--------------------------------------------------------+-------------------

Comment (by nthiery):

 Hi Simon!

 Replying to [comment:22 SimonKing]:
 > With sage-5.0.beta13 plus #715, #11521, #12875, #12877, #12215 and
 [attachment:trac_12876_category-fix_abstract_class-nt-rel11521.patch], all
 doc tests pass.

 Cool!
 > In sage/category/hecke_modules.py, you refer to ticket number ??? for
 fixing _test_zero and _test_elements. In
 sage/schemes/elliptic_curves/ell_curve_isogeny.py, you leave a reference
 to trac open as well. Have the tickets now been created? I didn't fix that
 yet.

 Oops. Those are #12879 and #12880 respectively.
 >
 > I see that you rename `Rings.HomCategory.ParentMethods.__new__` into
 `__new__bx`. Does that mean the ugly `__new__` method ought to be removed
 (finally!)?
 > But then, shouldn't `__getnewargs__` be removed as well?

 Yes, that was my intention indeed: in principle they should not be needed,
 and I forgot to remove them. I'll investigate the failure you report on
 Monday, unless you beat me to it.


 > Please tell whether you want to address these questions in an additional
 patch.

 Unless removing __getnewargs__ turns out to be hard, I'd rather fix all of
 the above right now.
 Feel free to experiment: I won't download the patches before Monday.

 Thanks a lot for all your quick work on this :-)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12876#comment:27>
Sage <http://www.sagemath.org>
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