Definition:Separable Degree
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Definition
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 $\index E F_s$