Definition:Separable Extension

From ProofWiki
Jump to navigation Jump to search


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.