Difference between revisions of "Field extension"
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Revision as of 07:57, 5 May 2008
If 
and 
are fields and 
, then 
is said to be a field extension. We sometimes say that is a field extension of .
If is a field extension, then may be thought of as a vector space over . The dimension of this vector space is called the degree of the extension, and is denoted by ![$[L:K]$](http://latex.artofproblemsolving.com/e/0/2/e02cf56d70606ad14a4a8339c69dbf5eb8fdc7ff.png)
.
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