Theorems · Definition · commutative algebra

IsDedekindDomain.HeightOneSpectrum.intAdicAbv

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

The v-adic absolute value 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

11 results in Mathlib

Foundations

Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingIsDedekindDomain