#10513: Coercion and category framework for modules
-------------------------------------+-------------------------------------
       Reporter:  SimonKing          |        Owner:  robertwb
           Type:  defect             |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-pending
      Component:  coercion           |   Resolution:
       Keywords:  coercion,          |    Merged in:
  category framework, modules        |    Reviewers:  Jean-Pierre Flori
        Authors:  Simon King, Peter  |  Work issues:
  Bruin                              |       Commit:
Report Upstream:  N/A                |  6b63026ceea5e9daaee46ca821a85e4edd6ded8b
         Branch:                     |     Stopgaps:
  u/pbruin/10513-coercion_and_categories_for_modules|
   Dependencies:  #16507, #17578,    |
  #17561, #11126                     |
-------------------------------------+-------------------------------------
Changes (by pbruin):

 * commit:  b1287e75962a2dc590f1fa22acc90a4e53383aab =>
     6b63026ceea5e9daaee46ca821a85e4edd6ded8b
 * dependencies:  #16507, #17578, #17561 => #16507, #17578, #17561, #11126
 * branch:  u/jdemeyer/ticket/10513 =>
     u/pbruin/10513-coercion_and_categories_for_modules


Comment:

 With the new commits, the category of free modules is
 `FreeModules(base_ring.category())` by default, and instead of taking the
 join with `FiniteEnumeratedSets` (if applicable), we add a `list()`
 method.

 There are two doctest failures:
 {{{
 sage -t --long --warn-long 43.7 src/sage/matrix/matrix2.pyx  # 1 doctest
 failed
 sage -t --long --warn-long 43.7 src/sage/modules/free_module.py  # 1
 doctest failed
 }}}
 The first is caused by #11126; the second is a `NotImplementedError` in
 `repr()` caused by the fact that `basis()` is not implemented for abstract
 free modules.
 ----
 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=f0957f0ab545bab9d405fadbe1fdffdbd9e39380
 f0957f0]||{{{Trac 10513: use FreeModules(base_ring.category()) instead of
 FreeModules(base_ring)}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=6b63026ceea5e9daaee46ca821a85e4edd6ded8b
 6b63026]||{{{Trac 10513: method FreeModule_generic.list() to replace
 FiniteEnumeratedSets magic}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/10513#comment:49>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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