#807: construction of function fields
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       Reporter:  nbruin            |         Owner:  somebody
           Type:  defect            |        Status:  new     
       Priority:  major             |     Milestone:  sage-5.8
      Component:  basic arithmetic  |    Resolution:          
       Keywords:                    |   Work issues:          
Report Upstream:  N/A               |     Reviewers:          
        Authors:                    |     Merged in:          
   Dependencies:                    |      Stopgaps:          
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Comment (by cremona):

 Replying to [comment:9 tscrim]:

 >
 > In some ways, I'd almost like the following to throw an error:
 > {{{
 > sage: R.<x> = QQ['t']
 > sage: x
 > t
 > }}}
 > since the variable names don't match. But that might just be me...

 No, not just you.  And you probably also dislike this, as I do:
 {{{
 sage: y = polygen(QQ)
 sage: y
 x
 }}}
 This would be avoided by disallowing polygen()'s name parameter being
 omitted (it defaults to "x").  After all we are not allowed to construct
 number fields, or non-prime finite fields, without naming a generator, and
 this is worse since we usually think that we have named a generator...

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/807#comment:10>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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