Definition: Field Extension
Let \(L\) be a field and \(F\subseteq L\) a subfield of \(L\). Then we call \(L\) an extension field of \(F\) and the inclusion \(F\subseteq L\) is called a field extension.
We also denote a field extension \(F\subseteq L\) by \(L/F\) (read "L over F").
Table of Contents
- Definition: Finite Field Extension
Definitions: 1 2
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Adapted from CC BY-SA 3.0 Sources:
- Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of Osnabrück