Algebraic element
= Algebraic element
{wiki=Algebraic_element}
An algebraic element is an element \\( \\alpha \\) of a field extension \\( K \\) over a base field \\( F \\) such that \\( \\alpha \\) is a root of some non-zero polynomial with coefficients in \\( F \\). In other words, there exists a polynomial \\( f(x) \\in F\[x\] \\) such that \\\[ f(\\alpha) = 0.