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Additional
different ideal
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Different ideal
In
algebraic number theory
, the
different ideal
(sometimes simply the
different
) is defined to measure the (possible) lack of duality in the
ring of integers
of an
algebraic number field
K
, with respect to the
field trace
. It then encodes the
ramification
data for
prime ideals
of the ring of integers. It was introduced by
Richard Dedekind
in 1882.
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