#17859: Wrong coercion between QQ and finite rings
--------------------------+----------------------------
   Reporter:  vdelecroix  |            Owner:
       Type:  defect      |           Status:  new
   Priority:  major       |        Milestone:  sage-6.6
  Component:  coercion    |         Keywords:
  Merged in:              |          Authors:
  Reviewers:              |  Report Upstream:  N/A
Work issues:              |           Branch:
     Commit:              |     Dependencies:
   Stopgaps:              |
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 There is no coercion between QQ and finite rings
 {{{
 sage: cm = get_coercion_model()
 sage: cm.get_action(Zmod(2), QQ, operator.mul) is None
 True
 }}}
 This is right.

 But we do have an action of matrices on vectors
 {{{
 sage: M = MatrixSpace(Zmod(2),2)
 sage: V = VectorSpace(QQ,2)
 sage: cm.get_action(M,V,operator.mul)
 Left action by
   Full MatrixSpace of 2 by 2 dense matrices over Ring of integers modulo 2
 on
   Vector space of dimension 2 over Rational Field
 }}}
 or
 {{{
 sage: M = MatrixSpace(QQ,2)
 sage: V = VectorSpace(Zmod(2),2)
 sage: cm.get_action(M,V,operator.mul)
 Left action by
   Full MatrixSpace of 2 by 2 dense matrices over Rational Field on
   Vector space of dimension 2 over Ring of integers modulo 2
 }}}
 And this is wrong!

--
Ticket URL: <http://trac.sagemath.org/ticket/17859>
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