#13670: Inversion in polynomial quotient rings could give clearer error message
when element is non-invertible
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       Reporter:  Bouillaguet          |         Owner:  malb        
           Type:  enhancement          |        Status:  needs_review
       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:              
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Comment (by mstreng):

 Replying to [comment:5 Bouillaguet]:
 > Patch for the exception name. Should we fix the "zero divided by crap
 equals zero" problem, while we're at it?

 It's not just a problem of dividing 0 by something. If you try to compute
 {{{S(2x)/S(x)}}}, then you have the same problem: the answer is non-
 unique, so the univariate case gives a !ZeroDivisionError, while the
 multivariate case gives the answer {{{S(2)}}} where {{{S(2+x)}}} is
 equally correct.

 I suppose consistency with Zmod and with the univariate case is very good,
 so sure, you can fix it. I don't have an opinion on whether this ticket is
 the place to do it, or whether the mailing lists need to be involved.

 As for the current patch: could you remove " (and the denominator is non-
 invertible)"? It makes the error message very long and does not add any
 information: obviously if the denominator is invertible, then it divides
 everything, including the numerator.

 And can you make sure that the lines don't go over 79-characters?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13670#comment:7>
Sage <http://www.sagemath.org>
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