Let $\displaystyle k$ be an algebraically closed field and let tr.deg($\displaystyle K/k$) is finite.

If $\displaystyle f:K\to K$ is an embedding over $\displaystyle k$ then $\displaystyle f$ is an isomorphism.

Printable View

- Apr 21st 2011, 11:44 PMKaKafield map.
Let $\displaystyle k$ be an algebraically closed field and let tr.deg($\displaystyle K/k$) is finite.

If $\displaystyle f:K\to K$ is an embedding over $\displaystyle k$ then $\displaystyle f$ is an isomorphism.