Algebraic element

In mathematics, if $L$ is a field extension of $K$ , then an element $a$ of $L$ is called an algebraic element over $K$ , or just algebraic over $K$ , if there exists some non-zero polynomial $g (x)$ with coefficients in $K$ such that $g (a) = 0$ . Elements of $L$ which are not algebraic over $K$ are called transcendental over $K$ .

This article includes a list of references, related reading or external links, but its sources remain unclear because it lacks inline citations. (March 2013)

These notions generalize the algebraic numbers and the transcendental numbers (where the field extension is $C / Q$ , $C$ being the field of complex numbers and $Q$ being the field of rational numbers).

Share this article:

This article uses material from the Wikipedia article Algebraic element, and is written by contributors. Text is available under a CC BY-SA 4.0 International License; additional terms may apply. Images, videos and audio are available under their respective licenses.