Definition:Algebraic Number

Definition
An algebraic number is an algebraic element of the field extension $\C/\Q$.

That is, it is a complex number that is a roots of a polynomial with rational coefficients.

The set of algebraic number can often be seen denoted as $\mathbb A$.

Also see

 * Definition:Algebraic Integer

Examples

 * Rational Number is Algebraic

Generalizations

 * Definition:Algebraic Element of Field Extension