Definition 9.15.1. Let $E/F$ be an algebraic field extension. We say $E$ is normal over $F$ if for all $\alpha \in E$ the minimal polynomial $P$ of $\alpha $ over $F$ splits completely into linear factors over $E$.
Definition 9.15.1. Let $E/F$ be an algebraic field extension. We say $E$ is normal over $F$ if for all $\alpha \in E$ the minimal polynomial $P$ of $\alpha $ over $F$ splits completely into linear factors over $E$.
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