#10317: how to copy/paste InfinitePolynomialRings?
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 Reporter:  zimmerma          |         Owner:  AlexGhitza
     Type:  defect            |        Status:  closed    
 Priority:  minor             |     Milestone:  sage-4.7  
Component:  basic arithmetic  |    Resolution:  wontfix   
 Keywords:                    |        Author:            
 Upstream:  N/A               |      Reviewer:            
   Merged:                    |   Work_issues:            
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Comment(by SimonKing):

 Replying to [comment:2 zimmerma]:
 > Replying to [comment:1 kcrisman]:
 >
 > contrary to your example, the problem is that you can't even copy/paste
 {{{a_2 + a_1 + a_0}}}
 > without defining at hand the corresponding variables, which then
 questions the usefulness of
 > {{{InfinitePolynomialRings}}}...

 The purpose of `InfinitePolynomialRing` is certainly not to insert
 infinitely many identifiers into the global name space.
 Its main purpose is not even to have a convenient way to create a
 countable set of variables and do arithmetic with it.

 The main purpose is described in the documentation: Do computations
 related with finitely generated ideals in countably infinitely many
 variables that are set-wise invariant under permutation of the variables
 (ideal containment, etc). The background is the theory of symmetric
 Gröbner bases due to Aschenbrenner and Hillar.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10317#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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