Mike is correct about your first question: your confusion is between
coercion maps and conversion maps.

The function you're looking for is _mpoly_base_ring, which is written in
sage.rings.polynomial.multi_polynomial_ring_generic.pyx
David

On Wed, Feb 16, 2011 at 13:06, mmarco <mma...@unizar.es> wrote:

> I already new all that, but my question would be: "why
> S.has_coerce_map_from(R) returns False?"
>
> And the second question is "is there a command (or an easy way to
> implement it) to recover QQ[x,y,z] from QQ[x][y][z] or any other
> similar situation?"
>
> I know how to deal with these cases by hand, but i am trying to write
> a patch for computing discriminants, and there i need a way to
> automatically do it. I think i could construct such a function if i
> knew how to recognize if a given ring is a polynomial ring or not.
>
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