Theorems · Definition · commutative algebra

AddValuation.supp

{R : Type u_3} →
  {Γ₀ : Type u_4} → [inst : LinearOrderedAddCommMonoidWithTop Γ₀] → [inst_1 : CommRing R] → AddValuation R Γ₀ → Ideal R

The support of an additive valuation v : R → Γ₀ is the ideal of R where v x = ⊤

Defined in

Mathlib.RingTheory.Valuation.Basic

Cited by

7 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Quot.sound

Assumes

LinearOrderedAddCommMonoidWithTopCommRing