#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):

 When using `WithEqualityByid` and a default `__reduce__` method, we'd get
 (sorted by "section"):

 Schemes:
 {{{
 sage -t sage/schemes/elliptic_curves/padic_lseries.py  # 1 doctest failed
 sage -t sage/schemes/elliptic_curves/ell_curve_isogeny.py  # 18 doctests
 failed
 sage -t sage/schemes/elliptic_curves/ell_point.py  # 8 doctests failed
 sage -t sage/schemes/elliptic_curves/ell_finite_field.py  # 1 doctest
 failed
 sage -t sage/schemes/projective/projective_space.py  # 2 doctests failed
 sage -t sage/schemes/elliptic_curves/isogeny_class.py  # 1 doctest failed
 sage -t sage/schemes/affine/affine_space.py  # 1 doctest failed
 sage -t sage/schemes/generic/homset.py  # 2 doctests failed
 }}}

 Modular:
 {{{
 sage -t sage/modular/local_comp/local_comp.py  # 5 doctests failed
 sage -t sage/modular/abvar/abvar.py  # 2 doctests failed
 sage -t sage/modular/hecke/submodule.py  # 1 doctest failed
 sage -t sage/modular/abvar/homspace.py  # 1 doctest failed
 sage -t sage/modular/modsym/subspace.py  # 2 doctests failed
 sage -t sage/modular/hecke/ambient_module.py  # 1 doctest failed
 sage -t sage/modular/abvar/finite_subgroup.py  # 2 doctests failed
 sage -t sage/modular/modform/cuspidal_submodule.py  # 1 doctest failed
 sage -t sage/modular/abvar/homology.py  # 2 doctests failed
 sage -t sage/modular/abvar/abvar_newform.py  # 1 doctest failed
 sage -t sage/modular/abvar/cuspidal_subgroup.py  # 2 doctests failed
 sage -t sage/modular/hecke/degenmap.py  # 1 doctest failed
 sage -t sage/modular/modsym/element.py  # 1 doctest failed
 sage -t sage/modular/hecke/homspace.py  # 1 doctest failed
 sage -t sage/modular/abvar/lseries.py  # 2 doctests failed
 sage -t sage/modular/hecke/morphism.py  # 1 doctest failed
 }}}

 Rings:
 {{{
 sage -t sage/rings/morphism.pyx  # 7 doctests failed
 sage -t sage/rings/quotient_ring.py  # 1 doctest failed
 sage -t sage/rings/finite_rings/homset.py  # 3 doctests failed
 sage -t sage/rings/number_field/morphism.py  # 4 doctests failed
 sage -t sage/rings/homset.py  # 2 doctests failed
 }}}

 Modules
 {{{
 sage -t sage/modules/fg_pid/fgp_morphism.py  # 4 doctests failed
 sage -t sage/modules/quotient_module.py  # 2 doctests failed
 sage -t sage/modules/vector_space_homspace.py  # 1 doctest failed
 }}}

 Others:
 {{{
 sage -t sage/doctest/forker.py  # 1 doctest failed
 sage -t sage/doctest/control.py  # 1 doctest failed
 sage -t sage/structure/parent.pyx  # 1 doctest failed
 sage -t sage/categories/hecke_modules.py  # 1 doctest failed
 sage -t sage/homology/simplicial_complex_homset.py  # 1 doctest failed
 }}}

 Getting failures in sage/doctest seems amazing.

 What to do?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14793#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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