#9054: create a class for basic function_field arithmetic for Sage
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    Reporter:  was                                                              
 |         Owner:  was          
        Type:  enhancement                                                      
 |        Status:  new          
    Priority:  major                                                            
 |     Milestone:  sage-wishlist
   Component:  algebra                                                          
 |    Resolution:               
    Keywords:                                                                   
 |   Work_issues:               
    Upstream:  N/A                                                              
 |      Reviewer:               
      Author:  William Stein, Robert Bradshaw, Maarten Derickx, Moritz Minzlaff 
 |        Merged:               
Dependencies:  #9094, #11034                                                    
 |  
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Comment(by SimonKing):

 Just for your information: I resumed work on #10667.

 Testing whether QQ is a ring works faster with the methods from #11115 and
 #10667 than with using the current `is_Ring`:
 {{{
 sage: C = CommutativeRings().objects()
 sage: QQ in C
 True
 sage: %timeit QQ in C
 625 loops, best of 3: 3.88 µs per loop
 }}}
 versus
 {{{
 sage: from sage.rings.ring import is_Ring
 sage: %timeit is_Ring(QQ)
 625 loops, best of 3: 5.06 µs per loop
 }}}

 Of course, just testing the class is a lot faster:
 {{{
 sage: from sage.rings.ring import Ring
 sage: %timeit isinstance(QQ,Ring)
 625 loops, best of 3: 666 ns per loop
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9054#comment:45>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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