#5146: [with patch; needs review] implement MPolynomial_ideal.variety() for 
GF(p)
with p > than what Singular supports
---------------------------------+------------------------------------------
 Reporter:  malb                 |       Owner:  malb      
     Type:  defect               |      Status:  new       
 Priority:  major                |   Milestone:  sage-3.4.1
Component:  commutative algebra  |    Keywords:            
---------------------------------+------------------------------------------

Comment(by john_perry):

 New version of the patch:
  * Separated functions related to triangularization into a new file,
 {{{toy_variety.py}}}

  * Completely rewrote two subalgorithms that check for and express linear
 dependence between polynomials. Lazard did not specify the details, and I
 implemented the previous versions in a manner that in no way could be
 described as intelligent. (Ironically, I'm scheduled to teach introductory
 linear algebra this summer.) The present version uses basic linear algebra
 to answer these questions.

  * Removed some doctests on the same two functions, because they are now
 nested. If there is a way to doctest nested functions, let me know, and
 I'll restore the doctests.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5146#comment:5>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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