solvable by radicals

Let $F$ be a field and $f(x)\in F[x]$. Then $f(x)$ is solvable by radicals if there exists a radical extension $K/F$ such that $f(x)$ factors into linears when considered as an element of $K[x]$.

Title	solvable by radicals
Canonical name	SolvableByRadicals
Date of creation	2013-03-22 16:55:39
Last modified on	2013-03-22 16:55:39
Owner	Wkbj79 (1863)
Last modified by	Wkbj79 (1863)
Numerical id	5
Author	Wkbj79 (1863)
Entry type	Definition
Classification	msc 12F10
Synonym	solvability by radicals
Synonym	solvable polynomial
Related topic	Radical5
Related topic	RadicalExtension