relative algebraic closure

Let $L$ be a field extension of $K$. We denote by $\overline{A}$ the set of all elements of $L$ that are algebraic over $K$. We will call $\overline{A}$ the (relative) algebraic closure of $K$ in $L$. We have that $\overline{A}$ is a field between $K$ and $L$.

Title	relative algebraic closure
Canonical name	RelativeAlgebraicClosure
Date of creation	2013-03-22 15:55:51
Last modified on	2013-03-22 15:55:51
Owner	polarbear (3475)
Last modified by	polarbear (3475)
Numerical id	5
Author	polarbear (3475)
Entry type	Definition
Classification	msc 12F05