#4149: [with patch, needs review] make every field a fraction field
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 Reporter:  jhpalmieri                     |        Owner:  tbd       
     Type:  defect                         |       Status:  new       
 Priority:  minor                          |    Milestone:  sage-3.1.3
Component:  algebra                        |   Resolution:            
 Keywords:  fraction field, fractionfield  |  
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Comment (by jhpalmieri):

 Your responses are reasonable from a computing point of view, but since
 Sage is mathematical software, I think it ''should'' make sense from a
 mathematical point of view. If you ask someone, "What's a simple example
 of a fraction field?", the answer will be '''Q''', so I would argue that
 most users would expect {{{is_FractionField(QQ)}}} to return True. People
 who need a data-type check can do {{{is_instance(x,
 FractionField_generic)}}}.

 There is a lot about Sage that I don't know. Are there many cases in which
 you have something like {{{FractionField}}} which is supposed to construct
 an object in a particular class (like {{{FractionField_generic}}}), but
 which in special cases (like ZZ) returns objects which are not instances
 of that class? I mean,
 {{{
 sage: is_FractionField(FractionField(ZZ))
 False
 }}}
 really bothers me.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4149#comment:3>
SAGE <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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