#20850: AdditiveMagmas.ParentMethods.summation calls _add_ without checking
--------------------------+----------------------------
   Reporter:  jdemeyer    |            Owner:
       Type:  defect      |           Status:  new
   Priority:  major       |        Milestone:  sage-7.3
  Component:  categories  |         Keywords:
  Merged in:              |          Authors:
  Reviewers:              |  Report Upstream:  N/A
Work issues:              |           Branch:
     Commit:              |     Dependencies:
   Stopgaps:              |
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 In `src/sage/categories/additive_magmas.py`, there is

 {{{
 class AdditiveMagmas(Category_singleton):
     class ParentMethods:
         def summation(self, x, y):
             return x._add_(y)
 }}}

 It's dangerous to call `_add_` without checking. Either this should just
 be `x + y`, or there should be type checking for `x` and `y`.

--
Ticket URL: <http://trac.sagemath.org/ticket/20850>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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