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Theorems · Definition · commutative algebra

IsDedekindDomain.HeightOneSpectrum.intAdicAbvDef

{R : Type u_1} →
  [inst : CommRing R] → [IsDedekindDomain R] → IsDedekindDomain.HeightOneSpectrum R → {b : NNReal} → 1 < b → R → NNReal

The v-adic absolute value function on R defined as b raised to negative v-adic valuation, for some b in ℝ≥0

Defined in
Mathlib.RingTheory.DedekindDomain.AdicValuation
Cited by
1 results in Mathlib
Foundations
Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingIsDedekindDomain

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