Definition 9.7.1. Let $F/E$ be an extension of fields. The dimension of $F$ considered as an $E$-vector space is called the degree of the extension and is denoted $[F : E]$. If $[F : E] < \infty $ then $F$ is said to be a finite extension of $E$.
Definition 9.7.1. Let $F/E$ be an extension of fields. The dimension of $F$ considered as an $E$-vector space is called the degree of the extension and is denoted $[F : E]$. If $[F : E] < \infty $ then $F$ is said to be a finite extension of $E$.
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