Definition:Algebraic Element of Field Extension

Definition
Let $E / F$ be a field extension.

Let $\alpha \in E$.

Also see

 * Equivalence of Definitions of Algebraic Element of Field Extension


 * Definition:Algebraic Field Extension
 * Definition:Algebraic Independence
 * Definition:Integral Element of Algebra


 * Definition:Transcendental over Field

Special cases

 * Definition:Algebraic Number