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Residue field
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Mathematics
Fields of mathematics
Algebraic geometry
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Residue field
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Codex
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Created
2026-09-24
Updated
2026-09-24
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The
residue field
at
a
maximal ideal
m
is the
quotient
field
κ
(
m
)
=
R
/
m
. At
a
prime ideal
p
, the
residue field
is the
fraction field
of
R
/
p
.
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