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Algebraic integer

Related Terms:

integral element quadratic integer algebraic number ideal number number field minimal polynomial polynomial coefficient algebraic integers integer root monic

Noun

Definition: A real or complex number (more generally, an element of a number field) which is a root of a monic polynomial whose coefficients are integers; equivalently, an algebraic number whose minimal polynomial (lowest-degree polynomial of which it is a root and whose leading coefficient is 1) has integer coefficients.

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