'Algebraic number fields' -- subject(s): Class field theory,
Algebraic fields
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An algebraic number is a complex number which is the root of a
polynomial equation with rational coefficients.
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An algebraic closure is of a field K is an algebraic extension
of K which is algebraically closed - that is, it contains a root
for every non-constant polynomial in F(x).
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classifacation of algebraic expression according to the number
of terms
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an algebraic expression is an expression built up from constants, variables, and a finite number of algebraic operations (addition, subtraction, multiplication,division and exponentiation to a power that is a rational number). For example,