#20086: rational powers in ZZ[X] and QQ[X]
-------------------------------------+-------------------------------------
       Reporter:  cheuberg           |        Owner:
           Type:  defect             |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-7.2
      Component:  basic arithmetic   |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Clemens            |    Reviewers:  Benjamin Hackl,
  Heuberger, Vincent Delecroix,      |  Vincent Delecroix
  Benjamin Hackl                     |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  public/20086       |  6f91df97a81fa094c04583314ad38cd5fd199cdb
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by behackl):

 Moving the code to `sage.rings.polynomial.polynomial_element.Polynomial`
 only provides `nth_root` for univariate polynomial rings, as it seems. The
 doctests for multivariate rings fail with

 {{{
 AttributeError:
 'sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular'
 object has no attribute 'nth_root'
 }}}

 I'm not a particularly big fried of copying the code to
 `sage.rings.polynomial.multi_polynomial_element.MPolynomial_element` as
 well. The univariate and multivariate polynomial ring elements inherit
 from CommutativeAlgebraelement and CommutativeRingElement, respectively---
 so implementing it in a superclass is not possible.

 Ideas?

--
Ticket URL: <http://trac.sagemath.org/ticket/20086#comment:64>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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