#9645: Bugs in the computation of Groebner bases over the integers
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   Reporter:  SimonKing            |       Owner:  duleorlovic                  
             
       Type:  defect               |      Status:  new                          
             
   Priority:  critical             |   Milestone:  sage-5.0                     
             
  Component:  commutative algebra  |    Keywords:  Groebner basis integer       
             
     Author:                       |    Upstream:  Fixed upstream, in a later 
stable release.
   Reviewer:                       |      Merged:                               
             
Work_issues:                       |  
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Changes (by SimonKing):

  * upstream:  Reported upstream. Little or no feedback. => Fixed upstream,
               in a later stable release.


Comment:

 Many thanks to Michael Brickenstein who explained
 [http://groups.google.com/group/sage-
 devel/browse_thread/thread/46124695d2f7469a here] that our
 misunderstanding comes from the fact that Dusan expects to work with
 ''weak'' Gröbner bases - a notion that I was not aware of.

 Singular computes a strong Gröbner basis. So, not a bug.

 By the way, the remaining problem with slimgb is solved upstream: By now
 (i.e., with the current developer version and in the next official
 release), slimgb will raise an error when being called for an ideal over
 the integers.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9645#comment:6>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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