Fields and transcendentals

From: "Richard Hayden" <r.hayden@xxxxxxxxx>
Date: 19 May 2006 17:56:53 -0700

Hi,

It seems intuitively obvious to me that if t is some transcendental
over K, then K(t) (the smallest field containing both K and t) is
isomorphic to the field of rational functions over K.

What would be a formal proof of this?

Thanks,

Richard Hayden.

.

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