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Version 4 |
| Let $K$ an extension field of $F$. We say that $K$ is a \emph{finite extension} if |
Let $K$ an extension field of $F$. We say that $K$ is a \emph{finite extension} if |
| $[K:F]$ is finite. That is, $K$ is a finite dimensional space over $F$. |
$[K:F]$ is finite. That is, $K$ is a finite dimensional space over $F$. |
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An important result on finte extensions establishes that any finite extension is also an algebraic extension. |
| An important result on finite extensions establishes that any finite extension is also an algebraic extension. |
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