algebraic integer

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English[edit]

Etymology[edit]

The idea of integer here is that the coefficient of the highest power x^n term is 1.

Noun[edit]

algebraic integer (plural algebraic integers)

  1. (mathematics) A number (real or complex) which is a root of a monic polynomial whose coefficients are integers.
    A Gaussian integer  z = a + i b is an algebraic integer since it is a solution of either the equation  z^2 + (-2 a) z + (a^2 + b^2) = 0 or the equation  z - a = 0 .

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