Definition 9.14.7. Let E/F be an algebraic field extension. Let E_{sep} be the subextension found in Lemma 9.14.6.
The integer [E_{sep} : F] is called the separable degree of the extension. Notation [E : F]_ s.
The integer [E : E_{sep}] is called the inseparable degree, or the degree of inseparability of the extension. Notation [E : F]_ i.
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