#13670: Inversion in polynomial quotient rings should not say NotImplemented 
when
element is non-invertible
-----------------------------------+----------------------------------------
   Reporter:  Bouillaguet          |             Owner:  malb            
       Type:  enhancement          |            Status:  new             
   Priority:  major                |         Milestone:  sage-5.5        
  Component:  commutative algebra  |          Keywords:  polynomial rings
Work issues:                       |   Report Upstream:  N/A             
  Reviewers:                       |           Authors:                  
  Merged in:                       |      Dependencies:                  
   Stopgaps:                       |  
-----------------------------------+----------------------------------------
 {{{
 sage: R.<x1,x2> = QQ[]
 sage: S = R.quotient_ring( R.ideal(x2**2 + x1 - 2, x1**2 - 1) )
 sage:
 sage: 1 / S(x1 + x2)
 ...
 NotImplementedError:
 }}}

 In fact, the element is non-invertible. The test used to check for
 invertibility is correct and complete, so we should return a "!ValueError:
 Non-invertible exception" instead.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13670>
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