#14793: Unique representation for homsets
-------------------------------+--------------------------------------------
       Reporter:  nthiery      |         Owner:  nthiery  
           Type:  enhancement  |        Status:  new      
       Priority:  major        |     Milestone:  sage-5.12
      Component:  categories   |    Resolution:           
       Keywords:               |   Work issues:           
Report Upstream:  N/A          |     Reviewers:           
        Authors:  Simon King   |     Merged in:           
   Dependencies:               |      Stopgaps:           
-------------------------------+--------------------------------------------

Comment (by SimonKing):

 PS: With the idea exposed in the previous post, the following previously
 failing examples would work:
 {{{
 age: M = ModularSymbols(6)
 sage:
 
sage.modular.hecke.morphism.is_HeckeModuleMorphism_matrix(ModularSymbols(6).hecke_operator(7).matrix_form().hecke_module_morphism())
 True
 sage: loads(dumps(M)) == M
 True
 sage: A = J0(33)
 sage: D = A.decomposition(); D
 [
 Simple abelian subvariety 11a(1,33) of dimension 1 of J0(33),
 Simple abelian subvariety 11a(3,33) of dimension 1 of J0(33),
 Simple abelian subvariety 33a(1,33) of dimension 1 of J0(33)
 ]
 sage: loads(dumps(D))
 [
 Simple abelian subvariety 11a(1,33) of dimension 1 of J0(33),
 Simple abelian subvariety 11a(3,33) of dimension 1 of J0(33),
 Simple abelian subvariety 33a(1,33) of dimension 1 of J0(33)
 ]
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14793#comment:22>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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