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English-
translations for
algebraic integer
Definition of algebraic integer
A real or complex number which is a
root
of a
monic
polynomial
whose
coefficient
s are
integer
s; ''equivalently'', an
algebraic number
whose
minimal polynomial
has integer coefficients
Examples
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
.
Related words
algebraic
algebraically
algebraical
algebraic structure
algebraic number
algebraic function
algebraic equation
algebraic geometry
algebraic chess notation
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