#9944: categories for polynomial rings
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   Reporter:  robertwb                        |       Owner:  nthiery     
       Type:  defect                          |      Status:  needs_review
   Priority:  major                           |   Milestone:  sage-4.7    
  Component:  categories                      |    Keywords:              
     Author:  Robert Bradshaw                 |    Upstream:  N/A         
   Reviewer:  Nicolas M. ThiƩry, Mike Hansen  |      Merged:              
Work_issues:                                  |  
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Comment(by nthiery):

 Replying to [comment:4 robertwb]:
 > The first patch only concerned univarite polynomial rings, the logic is
 not all correct for multivariate polynomial rings (though on an orthogonal
 note, that could use some fixing up as well). It seems odd to have a
 category of univariate polynomial rings over a fixed basering, which is
 why I put the logic into the concrete object. I suppose the category
 should a be declared as a graded R-algebra as well (do we have join
 categories yet?).

 Sorry for the very late answer. In MuPAD, we had a category for
 univariate polynomial rings: there are several possible
 implementations of such, and it's natural to factor out the generic
 code, together with the category inheritance logic, in a category.

 And yes, we have join categories. See Category.join.

 I let you see whether to create the UnivariatePolynomialRing category
 in this ticket or in a later ticket.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9944#comment:8>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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