#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 ring_refcount_dict 
problem
Report Upstream:  N/A                |     Reviewers:  Simon King               
     
        Authors:  Nicolas M. ThiƩry  |     Merged in:                           
     
   Dependencies:  #12875, #12877     |      Stopgaps:                           
     
-------------------------------------+--------------------------------------
Changes (by SimonKing):

  * status:  needs_review => needs_work
  * work_issues:  => Fix ring_refcount_dict problem


Comment:

 With #12808, #12875 and #12877 applied on top of sage-5.1.notebook, all
 doctests pass. But when adding the patch from here, there are two
 problems:
 {{{
         sage -t  -force_lib "devel/sage/sage/libs/singular/ring.pyx"
         sage -t  -force_lib
 "devel/sage/sage/rings/polynomial/multi_polynomial_libsingular.pyx"
 }}}
 Namely:
 {{{
 sage -t -force_lib "devel/sage/sage/libs/singular/ring.pyx"
 **********************************************************************
 File
 
"/mnt/local/king/SAGE/experiment/notebook/sage-5.1.notebook/devel/sage/sage/libs/singular/ring.pyx",
 line 469:
     sage: ring_ptr in ring_refcount_dict
 Expected:
     False
 Got:
     True
 **********************************************************************
 }}}
 and
 {{{
 sage -t -force_lib
 "devel/sage/sage/rings/polynomial/multi_polynomial_libsingular.pyx"
 **********************************************************************
 File
 
"/mnt/local/king/SAGE/experiment/notebook/sage-5.1.notebook/devel/sage/sage/rings/polynomial/multi_polynomial_libsingular.pyx",
 line 418:
     sage: len(ring_refcount_dict) == n
 Expected:
     True
 Got:
     False
 **********************************************************************
 }}}

 So, apparently it is only a single problem.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12876#comment:11>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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