relative algebraic closure

Let L be a field extension of K. We denote by A¯ the set of all elements of L that are algebraic over K. We will call A¯ the (relative) algebraic closureMathworldPlanetmath of K in L. We have that 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