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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