Polynomial equations with rational coefficients have numbers {algebraic number} as roots, because polynomial functions involve only arithmetic operations. Algebraic numbers can have degrees, such as square root, depending on equation degree.
Kummer
If a is imaginary pth root of unity {algebraic number, Kummer}, f(a) = A(0) + A(1) * a + A(2) * a^2 + ... + A(p - 2) * a^(p - 2).
infinity
Algebraic and rational numbers have same infinity order.
denumerability
Integer-coefficient polynomial-equation roots are denumerable. Real-number-coefficient polynomial-equation roots are not denumerable. Algebraic numbers do not have unique factorization.
Mathematical Sciences>Number Theory>Number Types
Outline of Knowledge Database Home Page
Description of Outline of Knowledge Database
Date Modified: 2022.0224