#5453: [with patch, needs review] Create a ring for working with polynomials in
countably infinitely many variables
---------------------------------+------------------------------------------
 Reporter:  mhansen              |       Owner:  mhansen   
     Type:  enhancement          |      Status:  assigned  
 Priority:  major                |   Milestone:  sage-3.4.2
Component:  commutative algebra  |    Keywords:            
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Comment(by SimonKing):

 Hi Mike!

 Now, being back at work, I try an alternative implementation.

 I wondered why you define {{{_coerce_map_from_}}} to return False whenever
 the second argument is an infinite polynomial ring (different from self,
 of course).

 What do you think:
  * Should there be a coercion between two infinite polynomial rings that
 have the same variables in different order, such as
 {{{
 sage: X.<x,y> = InfinitePolynomialRing(QQ)
 sage: Y.<y,x> = InfinitePolynomialRing(QQ)
 }}}
  I believe it should, because one also has
 {{{
 sage: X.<x,y> = PolynomialRing(QQ)
 sage: Y.<y,x> = PolynomialRing(QQ)
 sage: X.has_coerce_map_from(Y)
 True
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5453#comment:12>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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