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2005/09/05 | 阿代尔[Adèle]
类别(∑〖数学〗)
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发表于 21:04
An element of an
adèle group
, sometimes called a
repartition
in older literature (e.g., Chevalley 1951, p. 25). Adèles arise in both
number fields
and
function fields
. The adèles of a
number field
are the additive
subgroups
of all elements in
, where
is the
field place
, whose
absolute value
is
at all but finitely many
s.
Let
be a
function field
of algebraic functions of one variable. Then a
map
which assigns to every
field place
of
an element
of
such that there are only a finite number of
field places
for which
is called an adèle (Chevalley 1951, p. 1951).
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