Theorems · Definition · commutative algebra

Perfection.teichmullerAux

{p : ℕ} →
  [Fact (Nat.Prime p)] →
    {R : Type u_1} → [inst : CommRing R] → {I : Ideal R} → [CharP (R ⧸ I) p] → Perfection (R ⧸ I) p → ℕ → R

An auxiliary sequence to define the Teichmüller map. The (n + 1)-st term is the p^n-th power of an arbitrary lift in R of the n-th component from the perfection of R ⧸ I.

Defined in

Mathlib.RingTheory.Teichmuller

Cited by

4 results in Mathlib

Foundations

Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FactCommRingCharP