#11878: Proper implementation of quotients of g-algebras and polynomial rings
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       Reporter:  SimonKing                    |         Owner:  AlexGhitza
           Type:  enhancement                  |        Status:  new       
       Priority:  major                        |     Milestone:  sage-5.7  
      Component:  algebra                      |    Resolution:            
       Keywords:  g-algebra Singular quotient  |   Work issues:            
Report Upstream:  N/A                          |     Reviewers:            
        Authors:                               |     Merged in:            
   Dependencies:  #4539                        |      Stopgaps:            
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Comment (by PolyBoRi):

 using
 Singulars {{{reduce}}} generated by {{{singular_function}}}
 should automatically deal with the quotients and still sufficiently fast
 (for generation of rings). Of course, similarly to the usual case where we
 attach the GB to an ideal as strategy,
 we can attach the quotient ideal here to the ring.
 Do not ask me about any internal Singular details at the moment.
 I suggest repairing things in a most clean way (and do a performant patch
 later).
 In fact using the later patch, we might be again be faster than Singular
 itself (as we can eliminate the repeated initialization of the strat
 object).

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11878#comment:6>
Sage <http://www.sagemath.org>
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