#11068: Basic implementation of one- and twosided ideals of non-commutative 
rings,
and quotients by twosided ideals
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   Reporter:  SimonKing                                         |          
Owner:  AlexGhitza                                 
       Type:  enhancement                                       |         
Status:  needs_work                                 
   Priority:  major                                             |      
Milestone:  sage-4.7                                   
  Component:  algebra                                           |       
Keywords:  onesided twosided ideal noncommutative ring
Work_issues:  Add examples; move code from ring.py to rings.py  |       
Upstream:  N/A                                        
   Reviewer:                                                    |         
Author:                                             
     Merged:                                                    |   
Dependencies:                                             
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Comment(by SimonKing):

 It was suggested on sage-devel to have both: By making `x` an optional
 argument, `Q.lift()` could return the lifting map (following the old rules
 of sage.rings.quotient_ring), and `Q.lift(x)` could return a lift of x
 (following the old rules of the category framework).

 I think I will go for that solution.

 Unfortunately, I was not told yet whether I shall duplicate the code, or
 move it...

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11068#comment:11>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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