Theorems · Definition · commutative algebra

Valuation.comap

{R : Type u_3} →
  {Γ₀ : Type u_4} →
    [inst : Ring R] →
      [inst_1 : LinearOrderedCommMonoidWithZero Γ₀] →
        {S : Type u_7} → [inst_2 : Ring S] → (S →+* R) → Valuation R Γ₀ → Valuation S Γ₀

A ring homomorphism S → R induces a map Valuation R Γ₀ → Valuation S Γ₀.

Defined in

Mathlib.RingTheory.Valuation.Basic

Cited by

15 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingLinearOrderedCommMonoidWithZeroRing