algebraic number

Noun

Meaning

root of an algebraic equation with rational coefficients

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Examples

Algebraic and transcendental numbers main An algebraic number is a number that is a root of a non-zero polynomial equation in one variable with rational coefficients (or equivalently — by clearing denominators — with integer coefficients). Source: Internet

Each algebraic number can be defined individually using the order relation on the reals. Source: Internet

His proof was cast in modern form by later algebraic number theorists. Source: Internet

This paper not only introduced the Gaussian integers and proved they are a unique factorization domain, it also introduced the terms norm, unit, primary, and associate, which are now standard in algebraic number theory. Source: Internet

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