#11751: make free_module_generic_pid also work for pid's other then integers
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   Reporter:  mderickx        |          Owner:  jason, was  
       Type:  defect          |         Status:  needs_review
   Priority:  major           |      Milestone:  sage-4.7.2  
  Component:  linear algebra  |       Keywords:              
Work_issues:                  |       Upstream:  N/A         
   Reviewer:                  |         Author:              
     Merged:                  |   Dependencies:              
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Comment(by mderickx):

 The patch looks good :). Didn't try it yet how it works with doctests and
 yet but at least the code looks reasonable.

 If this passes all test, then at least I want something like the following
 as a doctest:

 {{{
 sage: L=K^2
 sage: R=L.span([[x,1/x]])
 sage: R.basis()[0][0]
 x
 sage: R.basis()[0][0].parent()
 Fraction Field of Univariate Polynomial Ring in x over Rational Field
 sage: R=L.span([[x,x^2]])
 sage: R.basis()[0][0].parent()
 Univariate Polynomial Ring in x over Rational Field
 }}}
 Since if we are going to look at the parent of one specific element, then
 we certainly want that it depends in the right way of the other elements.

 A neater way to do this would be to actually store "coefficient_ring" in
 the parent, since I think that
 {{{
 parent.basis()[0][0].parent()
 }}}
 Is way to many steps removed from parent to actually directly acces from
 the code. But this is just nitpicking.

 I'm now doctesting your patch.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11751#comment:7>
Sage <http://www.sagemath.org>
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