Definition:Simple Field Extension
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Definition
Let $E / F$ be a field extension.
Then $E$ is a simple extension over $F$ if and only if:
- $\exists \alpha \in E: E = F \sqbrk \alpha$
where $F \sqbrk \alpha$ is the field extension generated by $\alpha$.
Also see
Sources
- 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): simple extension