#5566: [with patch, needs review] Symmetric Groebner bases and Infinitely
Generated Polynomial Rings
---------------------------------+------------------------------------------
 Reporter:  SimonKing            |       Owner:  SimonKing      
     Type:  enhancement          |      Status:  new            
 Priority:  major                |   Milestone:  sage-4.0       
Component:  commutative algebra  |    Keywords:  Symmetric Ideal
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Comment(by SimonKing):

 Dear Martin and Michael,

 Replying to [comment:36 malb]:
 > Replying to [comment:35 SimonKing]:
 > > First, some general questions:
 > >
 > >  1. Should previous versions of a patch be preserved, or is it better
 to overwrite the old patch with the new version?
 >
 > I don't think we established a good practice here yet. But it is
 certainly easier for the release manager if there is only one patch or a
 clear description what to apply when.

 OK, so I produced a stand-alone patch {{{SymmetricIdealsFinal.patch}}}
 relative to sage-3.4.1.rc3 that I consider final (see below).


 > > One question to the referee: As mentioned in a comment above, I try to
 be clever, i.e., in {{{SymmetricIdeal.symmetrisation()}}} I only apply
 elementary transpositions rather than the full symmetric group. I believe
 it works, but it is a difference to what Aschenbrenner and Hillar
 suggested. Shall I point it out in the documentation
 >
 > Yes, that should be pointed out clearly.

 OK, I did so in the documentation of {{{SymmetricIdeal.symmetrisation()}}}
 and {{{SymmetricIdeal.groebner_basis()}}}: I give no evidence ''why'' I
 believe that my algorithm is correct, but I state in what respect it
 differs from the work of Aschenbrenner and Hillar.

 Moreover, I made it optional to chose the ''original'' algorithm of
 Aschenbrenner and Hillar -- if some users don't trust me.

 > Let me know what the 'final' version of your patch is and then I'll
 review it.

 I think this version is final, in the following sense:
  - doc tests pass
  - I am already doing serious computations with that version, and it seems
 to work well
  - I looked intensely at the html documentation, and I found it alright.

 Cheers,
     Simon

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5566#comment:38>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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