#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    |    Resolution:          
       Keywords:                |   Work issues:          
Report Upstream:  N/A           |     Reviewers:          
        Authors:  Julian Rueth  |     Merged in:          
   Dependencies:                |      Stopgaps:          
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Description changed by saraedum:

Old description:

> 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.

New description:

 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)
 ValueError: must specify name of generator of extension
 }}}

 The attached patch resolves this problem.

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13538#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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