expressible

Let $F$ be a field and $\alpha$ be algebraic (http://planetmath.org/AlgebraicElement) over $F$. Then $\alpha$ is expressible over $F$ if $F(\alpha )/F$ is a radical extension. On the other hand, $\alpha$ is inexpressible over $F$ if $F(\alpha )/F$ is not a radical extension.

Title	expressible
Canonical name	Expressible
Date of creation	2013-03-22 16:55:41
Last modified on	2013-03-22 16:55:41
Owner	Wkbj79 (1863)
Last modified by	Wkbj79 (1863)
Numerical id	7
Author	Wkbj79 (1863)
Entry type	Definition
Classification	msc 12F05
Classification	msc 12F10
Defines	inexpressible