#13008: refactor squarefree_decomposition to allow different rings to chose
different implementations
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       Reporter:  saraedum                      |         Owner:
           Type:  enhancement                   |  AlexGhitza
       Priority:  minor                         |        Status:
      Component:  algebra                       |  needs_review
       Keywords:  polynomial, squarefree, sd59  |     Milestone:  sage-6.3
        Authors:  Julian Rueth                  |    Resolution:
Report Upstream:  N/A                           |     Merged in:
         Branch:  u/saraedum/ticket/13008       |     Reviewers:
       Stopgaps:                                |   Work issues:
                                                |  Dependencies:  #12404,
                                                |  #13048
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Changes (by {'newvalue': u'Julian Rueth', 'oldvalue': ''}):

 * keywords:  polynomial, squarefree => polynomial, squarefree, sd59
 * status:  new => needs_review
 * author:   => Julian Rueth


Old description:

> Refactor {{{squarefree_decomposition()}}} of univariate polynomials to
> call {{{_squarefree_decomposition_univariate()}}} of the base ring. This
> makes it easier to have different algorithms in different rings.
>
> This will make it easier to implement square-free decomposition over
> perfect fields and separably generated extensions of perfect fields.

New description:

 Refactor {{{squarefree_decomposition()}}} of univariate polynomials to
 call {{{_squarefree_decomposition_univariate()}}} of the base ring. This
 makes it easier to have different algorithms in different rings.

 This will make it easier to implement square-free decomposition over
 perfect fields and separably generated extensions of perfect fields.

 Also, the implemented algorithms only work for some base fields. The
 checks are now more specific.

--

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Ticket URL: <http://trac.sagemath.org/ticket/13008#comment:6>
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