#5566: [with patch, needs some work] Symmetric Groebner bases and Infinitely
Generated Polynomial Rings
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 Reporter:  SimonKing            |       Owner:  SimonKing      
     Type:  enhancement          |      Status:  new            
 Priority:  major                |   Milestone:  sage-3.4.2     
Component:  commutative algebra  |    Keywords:  Symmetric Ideal
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Comment(by SimonKing):

 Hi Martin,

 Replying to [comment:23 malb]:
 >  * please don't use {{{__repr__}}} and friends in doctests but use
 examples that are natural Python and mark them {{{#indirect doctest}}}

 Could you elaborate? I don't understand what that means.

 >  * why do you ask coercion questions in {{{_add_}}} and friends, at this
 point coercion should be done. What am I missing?

 You mean {{{hasattr(self.parent(),'_P')}}}? This is since I have a dense
 and a sparse implementation of infinite polynomial rings, but I only have
 a ''single'' class of infinite polynomials, in order to avoid code
 duplication. So, I have to check whether the parent of an infinite
 polynomial is dense or sparse.

 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_}}}?

 >  * most of the code is beautifully documented! Well done.

 Thank you!

 >  * you should add an {{{AUTHORS}}} block and add your name to each file

 So, the copyright information is not enough?

 Conncerning copyright: Although most of the code is original, I would like
 to include mhanson in the copyright, because his code was the starting
 point for me, and his 'dense' approach towards infinite polynomial rings
 is now the standard implementation (since it is faster). Is it ok to name
 him, although he did not explicitly state that he agrees with being named?

 >  * at the risk of being obnoxious: the Python convention is to use
 {{{add_generator}}} over {{{AddGenerator}}}

 Ok, will change it. Note, however, that {{{addGenerator}}} without
 underscore  is the name of the corresponding method in polybory's
 {{{GroebnerStrategy}}}.

 At this occasion: Would you prefer the method name
 'symmetric_cancellation_order' over 'sco'?

 >  * Did you generate and check the docs?

 I checked the doc tests, but I don't know how to generate the docs.

 Best regards,
    Simon

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5566#comment:26>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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