#7711: integral() does not reduce coefficients in finite field
---------------------------------------+------------------------------------
       Reporter:  zimmerma             |         Owner:  malb           
           Type:  defect               |        Status:  needs_info     
       Priority:  major                |     Milestone:  sage-5.0       
      Component:  commutative algebra  |    Resolution:                 
       Keywords:                       |   Work issues:                 
Report Upstream:  N/A                  |     Reviewers:  Paul Zimmermann
        Authors:  Alex Ghitza          |     Merged in:                 
   Dependencies:                       |      Stopgaps:                 
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Comment (by AlexGhitza):

 I guess I always found the following strange:

 {{{
 sage: type(3)
 <type 'sage.rings.integer.Integer'>
 sage: type(3/1)
 <type 'sage.rings.rational.Rational'>
 }}}

 and that influenced me in writing this patch.  I don't however have a
 strong opinion about this, and I'm happy to change it to make things more
 consistent by working in the fraction field of base_ring.  I'll replace
 the patch with one having this behavior soon.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7711#comment:14>
Sage <http://www.sagemath.org>
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