The degree (or relative degree, or index) of an extension field , denoted , is the dimension of as a vector space over , i.e.,
If is finite, then the extension is said to be finite; otherwise, it is said to be infinite.
The degree (or relative degree, or index) of an extension field , denoted , is the dimension of as a vector space over , i.e.,
If is finite, then the extension is said to be finite; otherwise, it is said to be infinite.
Weisstein, Eric W. "Extension Field Degree." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ExtensionFieldDegree.html