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2006/10/01 | 定域场[Local Field]
类别(∑〖数学〗)
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发表于 13:31
A
field
which is complete with respect to a discrete
valuation
is called a local field if its
field
of
residue classes
is
finite
. The
Hasse principle
is one of the chief applications of local field theory. A local field with
field characteristic
is
isomorphic
to the
field
of power series in one variable whose coefficients are in a
finite field
. A local field of characteristic zero is either
the
p-adic numbers
, or
power series
in a complex variable.
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