#9220: Upredictable parent for polynomial evaluation
------------------------+---------------------------------------------------
   Reporter:  nbruin    |       Owner:  robertwb  
       Type:  defect    |      Status:  new       
   Priority:  major     |   Milestone:  sage-4.4.4
  Component:  coercion  |    Keywords:            
     Author:            |    Upstream:  N/A       
   Reviewer:            |      Merged:            
Work_issues:            |  
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 I doubt that it is intended that the names of the variables of a
 polynomial ring can affect the parent of the result of evaluating such a
 polynomial:

 {{{
 sage: R=QQ['x']
 sage: S=QQ['x','y']
 sage: h=S.0^2
 sage: parent(h(R.0,0))
 Multivariate Polynomial Ring in x, y over Rational Field

 sage: R=QQ['x']
 sage: S=QQ['u','v']
 sage: h=S.0^2
 sage: parent(h(R.0,0))
 Univariate Polynomial Ring in x over Rational Field
 }}}
 I would expect the result of the second example in both cases.

 In

 http://groups.google.com/group/sage-
 devel/browse_thread/thread/4607f62126303ddd?pli=1

 John Cremona mentions #8502 as fixing a different but similar issue.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9220>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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