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Residue characteristic
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Mathematics
Area of mathematics
Algebra
Commutative algebra
Maximal ideal
Residue field
2026-10-03
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The
residue
characteristic of
a
local ring
is the
characteristic of a ring
of its
residue field
.
A
finite extension of
Q
p
has
residue
characteristic
p
.
Ancestors
(7)
Residue field
Maximal ideal
Commutative algebra
Algebra
Area of mathematics
Mathematics
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Logarithm isomorphism on deep principal units
Past exam of the mathematics course of the University of Cambridge
/
2001
/
iii
/
Paper 74
/
4
/
ii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2007
/
iii
/
Paper 27
/
2
/
ii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2015
/
iii
/
Paper 26
/
1
/
i
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2015
/
iii
/
Paper 26
/
3
/
ii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2015
/
iii
/
Paper 26
/
3
/
i
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2019
/
iii
/
Paper 123
/
4
/
i
/
Solution
Trace reduction in a ramified local extension
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