Theorems · Definition · commutative algebra

WittVector.ghostComponentModPPow

{R : Type u} →
  [inst : CommRing R] →
    {p : ℕ} →
      [inst_1 : Fact (Nat.Prime p)] → (n : ℕ) → WittVector p (R ⧸ Ideal.span {↑p}) →+* R ⧸ Ideal.span {↑p} ^ (n + 1)

The lift ring map gh_n : 𝕎(R/𝔭) →+* R/𝔭^(n+1) of the n-th ghost component 𝕎(R) →+* R along the surjective ring map 𝕎(R) →+* 𝕎(R/𝔭).

Defined in

Mathlib.RingTheory.Perfectoid.FontaineTheta

Cited by

6 results in Mathlib

Foundations

Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingFact