# Algebraic number/Related Articles

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*See also changes related to Algebraic number, or pages that link to Algebraic number or to this page or whose text contains "Algebraic number".*

## Parent topics

- Complex number [r]: Numbers of the form
*a+bi*, where*a*and*b*are real numbers and*i*denotes a number satisfying .^{[e]} - Algebraic number theory [r]:
*Add brief definition or description*

## Subtopics

- Rational number [r]: A number that can be expressed as a ratio of two integers.
^{[e]} - Surd [r]:
*Add brief definition or description* - Unit (algebraic integer) [r]:
*Add brief definition or description* - Root of unity [r]: An algebraic quantity some power of which is equal to one.
^{[e]} - Gauss sum [r]:
*Add brief definition or description* - Gaussian period [r]:
*Add brief definition or description* - Gaussian integer [r]: A number of the form
*a*+*b*i, where*a*and*b*are integers.^{[e]} - Eisenstein integer [r]:
*Add brief definition or description*

- Algebraic number field [r]: A field extension of the rational numbers of finite degree; a principal object of study in algebraic number theory.
^{[e]} - Algebraically closed field [r]:
*Add brief definition or description* - Dirichlet's unit theorem [r]:
*Add brief definition or description* - Galois theory [r]: Algebra concerned with the relation between solutions of a polynomial equation and the fields containing those solutions.
^{[e]} - Minimal polynomial [r]: The monic polynomial of least degree which a square matrix or endomorphism satisfies.
^{[e]} - Polynomial [r]: A formal expression obtained from constant numbers and one or indeterminates; the function defined by such a formula.
^{[e]} - Transcendental number [r]: A number which is not algebraic: that is, does not satisfy any polynomial with integer or rational coefficients.
^{[e]}