#9054: create a class for basic function_field arithmetic for Sage
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   Reporter:  was          |       Owner:  AlexGhitza
       Type:  enhancement  |      Status:  new       
   Priority:  major        |   Milestone:  sage-4.4.3
  Component:  algebra      |    Keywords:            
     Author:               |    Upstream:  N/A       
   Reviewer:               |      Merged:            
Work_issues:               |  
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Comment(by salmanhb):

 There seems to be an issue with returning the base ring of a
 RationalFunctionField. Neither base() nor base_ring() return the correct
 ring:


 {{{
 sage: K.<t> = FunctionField(QQ); K
 Rational function field in t over Rational Field
 sage: R1 = K.base(); R1
 Rational function field in t over Rational Field
 sage: R2 = K.base_ring(); R2
 Rational function field in t over Rational Field
 sage: R3.<s> = QQ[]; K3 = Frac(R3); K3
 Fraction Field of Univariate Polynomial Ring in s over Rational Field
 sage: R3
 Univariate Polynomial Ring in s over Rational Field
 sage: K3.base() == R3
 True
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9054#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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