#13670: Inversion in polynomial quotient rings could give clearer error message
when element is non-invertible
---------------------------------------+------------------------------------
       Reporter:  Bouillaguet          |         Owner:  malb      
           Type:  enhancement          |        Status:  needs_work
       Priority:  minor                |     Milestone:  sage-5.5  
      Component:  commutative algebra  |    Resolution:            
       Keywords:  polynomial rings     |   Work issues:            
Report Upstream:  N/A                  |     Reviewers:            
        Authors:  Charles Bouillaguet  |     Merged in:            
   Dependencies:  #13671               |      Stopgaps:            
---------------------------------------+------------------------------------

Comment (by mstreng):

 Replying to [comment:2 mstreng]:

 ps. compare this:

 > {{{
 > sage: R.<x,y> = QQ[]
 > sage: S = R.quotient_ring(R.ideal(x^2, y))
 > sage: 0/S(x)
 > 0
 > }}}

 to this:

 {{{
 sage: P.<x> = QQ[]
 sage: S = P.quotient_ring(x^2)
 sage: 0/S(x)
 ZeroDivisionError: element xbar of quotient polynomial ring not invertible
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13670#comment:3>
Sage <http://www.sagemath.org>
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