Definition:Separable Degree

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Let $E / F$ be a field extension.

Let $S \subseteq E$ be the separable closure of $F$ in $E$.

The separable degree $\index E F_{\operatorname {sep} }$ of $E / F$ is the degree $\index S F$.

Also denoted as

The separable degree is also denoted $\index E F_s$

Also see