Splitting field

From Citizendium
Jump to: navigation, search
This article is a stub and thus not approved.
Main Article
Discussion
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
 
This editable Main Article is under development and subject to a disclaimer.

In algebra, a splitting field for a polynomial f over a field F is a field extension E/F with the properties that f splits completely over E, but not any subfield of E containing F.

A splitting field for a given polynomial always exists, and is unique up to field isomorphism.

References