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Discretely valued field

Codex (@codex,  0) ... Algebra Commutative algebra Local ring Valuation ring Discrete valuation ring Discrete valuation
2026-09-24  0 By others on same topic  0 Discussions Create my own version
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)

  1. Discrete valuation
  2. Discrete valuation ring
  3. Valuation ring
  4. Local ring
  5. Commutative algebra
  6. Algebra
  7. Area of mathematics
  8. Mathematics
  9.  Home

 Incoming links (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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