#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_review                      
              
   Priority:  major        |      Milestone:  sage-4.7.2                        
              
  Component:  algebra      |       Keywords:  onesided twosided ideal 
noncommutative ring sd32
Work_issues:               |       Upstream:  N/A                               
              
   Reviewer:               |         Author:  Simon King                        
              
     Merged:               |   Dependencies:  #10961, #9138, #11115, #11342     
              
---------------------------+------------------------------------------------

Comment(by john_perry):

 > Could you please state precisely what you did?
 Sure.
 {{{
 sage: MS = MatrixSpace(GF(5),2,2)
 sage: I = MS*[MS.0*MS.1,MS.2+MS.3]*MS
 sage: Q = MS.quo(I)
 sage: x = Q.an_element()
 sage: y = MS.1
 sage: x in Q, y in Q
 (True, True)
 sage: x*y
 }}}
 ...and we get the error generated above.

 Apparently this was '''not''' a problem with `x=MS.1`; I seem to have
 mistyped `x==MS.1` when I was testing that.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11068#comment:33>
Sage <http://www.sagemath.org>
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