Definition:Relative Algebraic Closure

Definition
Let $L / K$ be a field extension.

The relative algebraic closure of $K$ contained in $L$ is the set of all elements of $L$ that are algebraic over $K$.

Also see

 * Definition:Algebraic Closure
 * Definition:Maximal Algebraic Extension
 * Relative Algebraic Closure with Algebraically Closed Extension is Algebraic Closure