#9944: categories for polynomial rings
--------------------------------------------+-------------------------------
    Reporter:  robertwb                     |         Owner:  nthiery           
                         
        Type:  defect                       |        Status:  needs_review      
                         
    Priority:  major                        |     Milestone:  sage-4.7.1        
                         
   Component:  categories                   |    Resolution:                    
                         
    Keywords:                               |   Work_issues:                    
                         
    Upstream:  N/A                          |      Reviewer:  Nicolas M. 
ThiƩry, Mike Hansen, Martin Raum
      Author:  Robert Bradshaw, Simon King  |        Merged:                    
                         
Dependencies:  sage-4.7                     |  
--------------------------------------------+-------------------------------

Comment(by SimonKing):

 Replying to [comment:59 SimonKing]:
 > ...
 > __Improve Polynomial Base Injection Morphisms and use it for coercion__
 >
 >...
 >
 > The rule is now: If `P.an_element()` has a `_new_constant_poly` method
 then it is used. Otherwise, if one can construct a one element in `P`
 without calling coercion, and if it has `_rmul_` and if `_rmul_` does not
 return `None` then it is used. Otherwise, `P._element_constructor_` is
 used.

 I stand corrected. The above rule did hold for an intermediate
 (unpublished) patch version. With the new patch, all polynomial classes
 have `_new_constant_poly`, and it will ''always'' be used for basering
 injection.

 Hence, there is a return statement after getting `_new_constant_poly`, and
 the subsequent lines of
 `sage.rings.polynomial.polynomial_element.PolynomialBaseInjection.__init__`
 will never be executed. I will remove them in the final patch version, but
 I first wait for input of a referee.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9944#comment:60>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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