#5566: [with patch, needs some work] 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
---------------------------------+------------------------------------------

Comment(by SimonKing):

 Hi Martin,

 Replying to [comment:29 malb]:
 > Replying to [comment:26 SimonKing]:
 ...
 > > But now, as you mention it: The dense ring class inherits from the
 sparse ring class; perhaps there should also be dense and a sparse element
 class, with separate {{{_add_}}}?
 >
 > It probably would be cleaner and faster.

 OK, I'll try and do it (which needs more time). I guess, as for the rings,
 the dense class should inherit from the sparse class, and overload the
 arithmetic methods.

 > > At this occasion: Would you prefer the method name
 'symmetric_cancellation_order' over 'sco'?
 >
 > If {{{sco}}} is not the word used in papers, I'd prefer
 {{{symmetric_cancelation_order}}}. I have no hard feelings either way
 though.

 OK, my impression is that ''explicit'' names are preferred.

 > > I checked the doc tests, but I don't know how to generate the docs.
 >
 > run {{{sage -docbuild  reference html}}} and check for warnings +
 inspect the result.

 Thank you. It complains:
  * WARNING: Missing title for
 sage.rings.polynomial.infinite_polynomial_element
  * reST markup error: /home/king/SAGE/devel/sage-3.2.3/local/lib/python2.5
 /site-packages/sage/rings/polynomial/symmetric_ideal.py:docstring of
 sage.rings.polynomial.symmetric_ideal.SymmetricIdeal:4: (SEVERE/4)
 Unexpected section title.[[BR]]
    THEORY:[[BR]]
    -------

 So, how can I add a title? And what's wrong with the section title?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5566#comment:30>
Sage <http://sagemath.org/>
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