#8335: Finite Field lattices for (pseudo-)Conway polynomials
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       Reporter:  roed                          |         Owner:  AlexGhitza    
                
           Type:  enhancement                   |        Status:  needs_review  
                
       Priority:  major                         |     Milestone:  sage-5.11     
                
      Component:  algebra                       |    Resolution:                
                
       Keywords:  days49                        |   Work issues:                
                
Report Upstream:  N/A                           |     Reviewers:  Jean-Pierre 
Flori, Luca De Feo
        Authors:  David Roe, Jean-Pierre Flori  |     Merged in:                
                
   Dependencies:  #13894                        |      Stopgaps:                
                
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Comment (by pbruin):

 I started to look at the patches, but was immediately struck by a problem
 that has nothing to do with finite fields.  In
 `QuotientFunctor._apply_functor`, the functor R -> R/IR (where I is an
 ideal of the base ring) to arbitrary rings.  This makes perfect sense for
 any R; you just happen to get the zero ring when IR = R.  The existing
 behaviour is certainly correct (although it is debatable whether the zero
 ring should be represented as `Integers(1)`).  Why would you want to raise
 an exception if R is a field?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8335#comment:75>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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