Definition:Separable Degree

Definition
Let $E/F$ be a field extension.

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

The separable degree $[E : F]_{\operatorname{sep}}$ of $E/F$ is the degree $[S : F]$.

Also denoted as
The separable degree is also denoted $[E : F]_s$

Also see

 * Definition:Inseparable Degree