#4136: [with patch, needs review] enable tail reduction when reducing 
multivariate
polynomials
---------------------------------+------------------------------------------
 Reporter:  malb                 |       Owner:  malb      
     Type:  defect               |      Status:  new       
 Priority:  major                |   Milestone:  sage-3.1.3
Component:  commutative algebra  |    Keywords:            
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 This was reported on '''[sage-support]''':
 {{{
 hi there,

 this is going to be even worse than my recent bug report in terms of
 reproducing the error. I guess i'll start with describing what
 happens, and then if someone tells me that it's a bug and not a
 feature, then i'll try to get a minimal example.

 So I've got a polynomial ring with a few dozens variables, over a
 cyclotomic field, and i've got an ideal J with hundreds of generators.
 J contains at least y9 + y12. Then i got something like:

 sage: J.reduce(y9 - y12)
 2*y9   #which is fine

 sage: J.reduce(y13*y15)
 y13*y15 #why not

 sage: J.reduce(y13*y15 + y9 - y12)
 y13*y15 + y9 - y12

 Now what's up with that ? shouldn't it be y13*y15 + 2*y9 ? that's what
 i expect from the term 'reduction' anyway. Is this normal or is it a
 bug ? if it's a bug, could it influence the equivalence x in J iff
 J.reduce(x) == 0 ?

 So if this is a bug i'll give you more details.

 thanks!
 Pierre
 }}}

 http://groups.google.com/group/sage-
 support/browse_thread/thread/138e473f31c2f2b5
 {{{

 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4136>
SAGE <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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