#13697: Improvements and corrections to QuotientRingElement
-------------------------------------+-------------------------------------
       Reporter:  Bouillaguet        |        Owner:  malb
           Type:  enhancement        |       Status:  needs_info
       Priority:  minor              |    Milestone:  sage-6.2
      Component:  commutative        |   Resolution:
  algebra                            |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Charles            |  Work issues:
  Bouillaguet                        |       Commit:
Report Upstream:  N/A                |  756831a00ba9a0a1624e9b516621d5420a7cf2f7
         Branch:                     |     Stopgaps:
  u/saraedum/ticket/13697            |
   Dependencies:                     |
  #13670,#13671,#13675,#13714        |
-------------------------------------+-------------------------------------

Comment (by pbruin):

 I ran into the following:
 {{{
 sage: R.<x,y>=QQ[]
 sage: Q.<xx,yy>=R.quotient(x^2-y^3)
 sage: xx/yy
 ...
 ArithmeticError: Division failed. The numerator is not a multiple of the
 denominator.
 }}}
 It would be nice if in this situation, the quotient ring could check if it
 is a domain, and if so, return `xx/yy` as an element of the fraction
 field.

--
Ticket URL: <http://trac.sagemath.org/ticket/13697#comment:13>
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