#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 cremona):

 My 2 cents:  I agree that is_* functions are not needed at the top level,
 as people can import them if needed in code, while users can use an
 object's own .is_*() functions.

 The only problem with that is that there will surely be many places where
 the answer is clear but not currently implemented, such as
 sage: ZZ.is_integrally_closed()
 !NotImplementedError

 This is bound to happen.  There is no algorithm which can be applied to
 arbitrary rings and determine whether they are integrally closed;  but a
 lot of special classes are known to be so, and these really should define
 the relevant functions to return True.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4149#comment:10>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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