#19573: Natural coercion from Integers(p*l) to GF(p) for prime p
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   Reporter:  switzel        |            Owner:
       Type:  PLEASE CHANGE  |           Status:  new
   Priority:  major          |        Milestone:  sage-6.10
  Component:  algebra        |         Keywords:  coercion, rings
  Merged in:                 |          Authors:
  Reviewers:                 |  Report Upstream:  N/A
Work issues:                 |           Branch:
     Commit:                 |     Dependencies:
   Stopgaps:                 |
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 If `p` is a prime divisor of `m` there is currently no natural coercion
 morphism from `Integers(m)` to `GF(p)` when `p` is a prime that divides
 `m`:

 {{{
 sage: Integers(9).hom(GF(3))
 ---------------------------------------------------------------------------
 TypeError [...]
 }}}

 I don't see why there shouldn't be: there is a natural coercion morphism
 from `Integers(p)` to `GF(p)` and there is one from `Integers(m)` to
 `Integers(p)`.

 Also it seems like to change it would just involve changing one line of
 code.

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Ticket URL: <http://trac.sagemath.org/ticket/19573>
Sage <http://www.sagemath.org>
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