#4021: [with patch, needs review] MPolynomial_libsingular over ZZ
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 Reporter:  malb                                     |        Owner:  malb      
     Type:  defect                                   |       Status:  assigned  
 Priority:  major                                    |    Milestone:  sage-3.1.3
Component:  commutative algebra                      |   Resolution:            
 Keywords:  libsingular, singular, ZZ, multivariate  |  
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Comment (by malb):

 The second patch addresses the review of Oliver Wienand on [sage-devel]:
 {{{
 I have just glimpsed over the code. But maybe it is worth stating in
 the comments, that the reduce impl. only returns unqiue answer against
 strong Gröbner basis.

 Gröbner basis G of I <=> the leading ideal of G generates all leading
 terms of I
 strong % of I <=> for every leading term t of I there exists an
 element g of G, such that the leading term of g divides t.

 (leading terms meaans coef * product of variables)

 Otherwise the reduce code shown in
 
http://trac.sagemath.org/sage_trac/attachment/ticket/4021/mpolynomial_libsingular_zz.patch
 looks fine.
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4021#comment:4>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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