Gerald J. Janusz has written:

'Algebraic number fields' -- subject(s): Class field theory, Algebraic fields

An algebraic number is a complex number which is the root of a polynomial equation with rational coefficients.

An algebraic closure is of a field K is an algebraic extension of K which is algebraically closed - that is, it contains a root for every non-constant polynomial in F(x).

classifacation of algebraic expression according to the number of terms

an algebraic expression is an expression built up from constants, variables, and a finite number of algebraic operations (addition, subtraction, multiplication,division and exponentiation to a power that is a rational number). For example,