#17740: Division of modules by basering elements should not pass to the fraction
field.
----------------------------+------------------------
       Reporter:  robertwb  |        Owner:
           Type:  defect    |       Status:  new
       Priority:  major     |    Milestone:  sage-6.5
      Component:  coercion  |   Resolution:
       Keywords:            |    Merged in:
        Authors:            |    Reviewers:
Report Upstream:  N/A       |  Work issues:
         Branch:            |       Commit:
   Dependencies:            |     Stopgaps:
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Description changed by robertwb:

Old description:

> {{{
> sage: cm = sage.structure.element.get_coercion_model()
> sage: cm.bin_op(GF(5)['x'].gen(), 7, operator.div).parent()
> ︡dd186f73-dcbf-4799-a7c7-5ad880512d60︡{"stdout":"Fraction Field of
> Univariate Polynomial Ring in x over Finite Field of size 5\n"}︡
> }}}

New description:

 {{{
 sage: cm = sage.structure.element.get_coercion_model()
 sage: cm.bin_op(GF(5)['x'].gen(), 7, operator.div).parent()
 Fraction Field of Univariate Polynomial Ring in x over Finite Field of
 size 5
 }}}

 The problem is that we are not finding the inverse because we are passing
 to the fraction field of ZZ before coercing to GF(5).

--

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Ticket URL: <http://trac.sagemath.org/ticket/17740#comment:1>
Sage <http://www.sagemath.org>
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