solvable by radicals

Let F be a field and f(x)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