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
.
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