#13846: eliminate_linear_variables() vs degrevlex
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       Reporter:  malb                                          |         
Owner:  malb    
           Type:  defect                                        |        
Status:  new     
       Priority:  major                                         |     
Milestone:  sage-5.6
      Component:  commutative algebra                           |    
Resolution:          
       Keywords:                                                |   Work 
issues:          
Report Upstream:  None of the above - read trac for reasoning.  |     
Reviewers:          
        Authors:                                                |     Merged 
in:          
   Dependencies:                                                |      
Stopgaps:          
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Comment (by PolyBoRi):

 Thanks, the code indeed assumes that the indices really
 coincide with the diag. structure, i.e. are consistent (all index
 accessing functions
 give really the same result).
 {{{top_index  <-> .navigation().value()}}},
 or {{{v.index()}}}
 which are really the same, if you don't do anything,
 more problematics looks {{{iter(Monomial(v).variables()).next().index()}}}
 to be the same (but does not seem to be the problem).
 Moreover, we assume here that indices coincide with diag structure (i.e. <
 relation on indices has a meaning).

 Be aware that in this case code is broken while in other cases it might be
 just extremely slow when using wrong indices.
 I must say that I have extreme   bellyache for this index game. I
 appreciate all efforts on the topic.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13846#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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