#813: forced coercion vs. automatic coercion
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   Reporter:  nbruin            |          Owner:  roed      
       Type:  defect            |         Status:  new       
   Priority:  major             |      Milestone:  sage-4.7.1
  Component:  basic arithmetic  |       Keywords:            
Work_issues:                    |       Upstream:  N/A       
   Reviewer:                    |         Author:            
     Merged:                    |   Dependencies:            
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Comment(by SimonKing):

 For the record: I did post on [http://groups.google.com/group/sage-
 algebra/browse_thread/thread/7f884449de17bb31 sage-algebra], not sage-
 devel.

 There, I argued that there should be no coercion/pushout between
 `QQ[x][y]` and `QQ[y][x]`, even though there is a coercion between
 `QQ[x,y]` and `QQ[y,x]`. I wonder whether my argument is convincing,
 though.

 However, even in that case, I could imagine that with a little more effort
 one could modify the algorithm behind `sage.categories.pushout.pushout` so
 that the pushout of `Frac(QQ['x'])['y']` and `QQ['x','y']` is
 `Frac(QQ['x'])['y']`. Do we want that behaviour of the pushout?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/813#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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