#13538: AlgebraicExtensionFunctor should not make an assumption on the ordering 
of
parameters
--------------------------+-------------------------------------------------
   Reporter:  saraedum    |             Owner:  nthiery     
       Type:  defect      |            Status:  new         
   Priority:  trivial     |         Milestone:  sage-5.4    
  Component:  categories  |          Keywords:              
Work issues:              |   Report Upstream:  N/A         
  Reviewers:              |           Authors:  Julian Rueth
  Merged in:              |      Dependencies:              
   Stopgaps:              |  
--------------------------+-------------------------------------------------
 Currently, {{{AlgebraicExtensionFunctor}}} assumes that the
 {{{.extension()}}} function of a field takes the generators' names as the
 second argument. This is not always the case:

 {{{
 sage: K = Qp(3,3)
 sage: R.<a> = K[]
 sage: AEF = sage.categories.pushout.AlgebraicExtensionFunctor([a^2-3],
 ['a'], [None])
 sage: AEF(K)
 }}}

 The attached patch resolves this problem.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13538>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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