#16530: Caching error for function field extensions
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       Reporter:  saraedum                 |        Owner:
           Type:  defect                   |       Status:  needs_review
       Priority:  major                    |    Milestone:  sage-6.3
      Component:  commutative algebra      |   Resolution:
       Keywords:  sd59, function fields    |    Merged in:
        Authors:  Julian Rueth             |    Reviewers:
Report Upstream:  N/A                      |  Work issues:
         Branch:  u/saraedum/ticket/16530  |       Commit:
   Dependencies:                           |     Stopgaps:
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Changes (by saraedum):

 * status:  new => needs_review


Old description:

> Currently, we have the following behaviour
> {{{
> sage: K.<x> = FunctionField(QQ)
> sage: R.<y> = K[]
> sage: L.<y> = K.extension(y^2-x)
> sage: R.<z> = L[]
> sage: M.<z> = L.extension(z-1)
> sage: R.<z> = K[]
> sage: N.<z> = K.extension(z-1)
> sage: N is M
> True
> }}}

New description:

 Currently, we have the following behaviour
 {{{
 sage: K.<x> = FunctionField(QQ)
 sage: R.<y> = K[]
 sage: L.<y> = K.extension(y^2-x)
 sage: R.<z> = L[]
 sage: M.<z> = L.extension(z-1)
 sage: R.<z> = K[]
 sage: N.<z> = K.extension(z-1)
 sage: N is M
 True
 }}}

--

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Ticket URL: <http://trac.sagemath.org/ticket/16530#comment:2>
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