#4190: [with patch, needs review] division of number field order elements 
doesn't
check for membership
---------------------------+------------------------------------------------
 Reporter:  davidloeffler  |        Owner:  davidloeffler
     Type:  defect         |       Status:  assigned     
 Priority:  major          |    Milestone:  sage-3.1.3   
Component:  number theory  |   Resolution:               
 Keywords:                 |  
---------------------------+------------------------------------------------
Comment (by robertwb):

 Good work. Note that as of the latest alpha, both cdef and normal classes
 use _div_. Also, given the way these two are implemented, you could just
 reset the _parent slot instead of using the {{{__call__}}} method which is
 probably eating up a large chunk of the time.

 As for your question about whether or not it belongs in the fraction
 field, the convention is to have division return elements of the fraction
 field, so go ahead and remove that commented code.

 {{{
 sage: parent(4/2)
 Rational Field
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4190#comment:5>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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