#9138: Categories for all rings
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   Reporter:  jbandlow    |          Owner:  nthiery                            
       Type:  defect      |         Status:  needs_review                       
   Priority:  major       |      Milestone:  sage-4.7                           
  Component:  categories  |       Keywords:  introspection, categories for rings
Work_issues:              |       Upstream:  N/A                                
   Reviewer:              |         Author:  Simon King                         
     Merged:              |   Dependencies:                                     
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Comment(by SimonKing):

 I just noticed:

 The patch not only depends on #9944 but is based on sage-4.7.alpha5. I
 don't know which other patches are responsible for that, but the part of
 the patch that concerns the polybori code fails to apply with sage-4.6.

 Replying to [comment:53 nthiery]:
 > > What do you think: Should it perhaps better be "join of Category of
 commutative algebras over Rational Field and Category of subquotients
 ..."?
 > > After all, P belongs to the category of commutative algebras over the
 rational field.
 >
 > If multiplication by elements of QQ are implemented (and I assume they
 > are), then yes I definitely would go for commutative algebras.

 I looked at the code, and it seems that at least operation of the base
 ring exists. But I think one should also implement an `_rmul_` and
 `_lmul_` for quotient ring elements - it is missing, so far.

 Best regards,
 Simon

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9138#comment:54>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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