#20666: non uniform behavior of powers for polynomials
--------------------------+----------------------------
   Reporter:  vdelecroix  |            Owner:
       Type:  defect      |           Status:  new
   Priority:  major       |        Milestone:  sage-7.3
  Component:  algebra     |         Keywords:
  Merged in:              |          Authors:
  Reviewers:              |  Report Upstream:  N/A
Work issues:              |           Branch:
     Commit:              |     Dependencies:
   Stopgaps:              |
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 In #20086 a `nth_root` method was proposed to be able to take fractional
 powers of polynomials. Though this was not implemented for all polynomial
 rings. On sage-7.3.beta0 we have
 {{{
 sage: x = polygen(ZZ)
 sage: (x**2)**(1/2)
 x
 sage: x = polygen(GF(4))
 sage: (x**2)**(1/2)
 Traceback (most recent call last):
 ...
 TypeError: Only integral powers defined.
 }}}

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Ticket URL: <http://trac.sagemath.org/ticket/20666>
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