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扩域次数[Extension Field Degree]
[2005-10-19]
iamet
发表在
∑〖数学〗
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.
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, denoted 
, is the dimension of 
as a vector space over , i.e., 
is finite, then the extension is said to be finite; otherwise, it is said to be infinite.