Algebraic number/Related Articles

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

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Parent topics

• Complex number [r]: Numbers of the form a+bi, where a and b are real numbers and i denotes a number satisfying $i^{2}=-1$. ^[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 + bi, where a and b are integers. ^[e]
• Eisenstein integer [r]: Add brief definition or description

Other related topics

• 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]