Definition:Relative Separable Closure
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Definition
Let $E/F$ be a field extension.
The (relative) separable closure of $F$ in $E$ is the intermediate field consisting of all separable elements of $E$ over $F$.
Also see
- Separable Elements Form Field
- Definition:Separable Closure
- Decomposition of Field Extension as Separable Extension followed by Purely Inseparable
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