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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

1. Definition: Finite Field Extension

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Definitions: 1 2

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References

Adapted from CC BY-SA 3.0 Sources:

1. Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of Osnabrück