# 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 RelativeAlgebraicClosure 2013-03-22 15:55:51 2013-03-22 15:55:51 polarbear (3475) polarbear (3475) 5 polarbear (3475) Definition msc 12F05