If $F=K(u_1,\ldots,u_n)$ is a finitely generated extension of $K$ and $M$ is an intermediate field, then $M$ is a finitely generated extension of $K$.
I'm not exactly sure how to start this problem. Any help at all would be a tremendous help.
If $F=K(u_1,\ldots,u_n)$ is a finitely generated extension of $K$ and $M$ is an intermediate field, then $M$ is a finitely generated extension of $K$.
I'm not exactly sure how to start this problem. Any help at all would be a tremendous help.