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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