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Discretely valued field
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Algebra
Commutative algebra
Local ring
Valuation ring
Discrete valuation ring
Discrete valuation
2026-09-24
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A
discretely valued
field
is
a
field
equipped with
a
discrete valuation
. It is complete when every
Cauchy sequence
for the
induced metric
converges.
Ancestors
(9)
Discrete valuation
Discrete valuation ring
Valuation ring
Local ring
Commutative algebra
Algebra
Area of mathematics
Mathematics
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(6)
Newton polygon root valuation theorem
Past exam of the mathematics course of the University of Cambridge
/
2008
/
iii
/
Paper 29
/
4
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2014
/
iii
/
Paper 24
/
1
/
Solution
Teichmuller expansion
Valuation of a primitive p-power root of unity
Weighted Gauss valuation
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