#11068: Basic implementation of one- and twosided ideals of non-commutative 
rings,
and quotients by twosided ideals
--------------------------------------------------------------+-------------
   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:  Shall one move code from ring.pyx to rings.py?  |       Upstream: 
 N/A                                        
   Reviewer:                                                  |         Author: 
 Simon King                                 
     Merged:                                                  |   Dependencies: 
 #10961, #9138, #11115                      
--------------------------------------------------------------+-------------
Changes (by SimonKing):

  * status:  needs_review => needs_work


Comment:

 I just found one problem that should be fixed.

 In unpatched Sage, we have
 {{{
 sage: R = Integers(8)
 sage: R.quotient(R.ideal(2),['bla'])
 Quotient of Integer Ring by the ideal (2)
 }}}

 Shouldn't the result rather be the same as `Integers(2)`?

 With my patch as it currently is, the example fails with a type error. But
 I think I can make it work, so that the result will be "Ring of integers
 modulo 2".

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11068#comment:16>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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