Petravchuk, A.P.; Iena, O.G.
(Algebra and Discrete Mathematics, 2007)
Let K = K¯ be a field of characteristic zero. An
element ϕ ∈ K(x1,... ,xn) is called a closed rational function if
the subfield K(ϕ) is algebraically closed in the field K(x1,... ,xn).
We prove that a rational function ...