#13347: Check doctest examples using QuotientRings, which do not fulfill the
assumptions made on the ideal
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   Reporter:  tfeulner  |             Owner:  mvngu   
       Type:  task      |            Status:  new     
   Priority:  major     |         Milestone:  sage-5.3
  Component:  doctest   |          Keywords:          
Work issues:            |   Report Upstream:  N/A     
  Reviewers:            |           Authors:          
  Merged in:            |      Dependencies:          
   Stopgaps:            |  
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 The following files use quotient rings in their doctest examples, which
 contradict the assumption on the defining ideal:

 ASSUMPTION:

     ``I`` has a method ``I.reduce(x)`` returning the normal form
     of elements `x\in R`. In other words, it is required that
     ``I.reduce(x)==I.reduce(y)`` `\iff x-y \in I`, and
     ``x-I.reduce(x) in I``, for all `x,y\in R`.

 - sage/categories/pushout.py : line 2393
 - sage/categories/rings.py : lines 446, 482, 522
 - sage/structure/category_object.pyx : line 473
 - sage/rings/quotient_ring_element.py : lines 56, 98, 208
 - sage/rings/morphism.pyx : line 465
 - sage/rings/ring.pyx: lines 409, 708, 792

 These examples have to be modified, one possibility is that they use
 quotient rings which fulfill the assumption or the reduce function of the
 corresponding ideal class must be provided.

 See also trac:13345 and https://groups.google.com/d/topic/sage-
 devel/s5y604ZPiQ8/discussion.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13347>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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