= Transcendental extension
{wiki=Transcendental_extension}
In algebra, a **transcendental extension** refers to a type of field extension that contains elements that are not algebraic over the base field. More formally, if \\( K \\) is a field, a field extension \\( L \\) of \\( K \\) is called a transcendental extension if there exists at least one element \\( \\alpha \\in L \\) such that \\( \\alpha \\) is not the root of any non-zero polynomial with coefficients in \\( K \\).
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