#13968: BooleanPolynomialSequence.eliminate_linear_variables leaves some linear
equations in corner cases
-----------------------------------+----------------------------------------
   Reporter:  Bouillaguet          |             Owner:  malb    
       Type:  defect               |            Status:  new     
   Priority:  major                |         Milestone:  sage-5.7
  Component:  commutative algebra  |          Keywords:          
Work issues:                       |   Report Upstream:  N/A     
  Reviewers:                       |           Authors:          
  Merged in:                       |      Dependencies:          
   Stopgaps:                       |  
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 {{{
 sage: R.<x,y,z> = BooleanPolynomialRing()
 sage: S = Sequence([x*y*z+x*y+z*y+x*z, x+y+z+1, x+y])
 sage: S.eliminate_linear_variables(return_reductors=True)
 [z + 1], [x + y + z + 1])
 }}}
 Obviously, the first part is linear, and it shouldn't. The result should
 have been:
 {{{
 ( [], [z + 1, x + y] )
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13968>
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