# Definition:Separable Extension

## Definition

Let $K$ be a field.

Let $L/K$ be an algebraic field extension.

Then $L/K$ is a separable extension if and only if every $\alpha\in L$ is separable over $K$.

That is:

For every $\alpha \in L$, its minimal polynomial over $K$ is separable.

## Also see

• Results about separable extensions can be found here.