Theorems · Definition · commutative algebra

Algebra.Extension.cotangentComplex

{R : Type u} →
  {S : Type v} →
    [inst : CommRing R] →
      [inst_1 : CommRing S] → [inst_2 : Algebra R S] → (P : Algebra.Extension R S) → P.Cotangent →ₗ[S] P.CotangentSpace

The cotangent complex given by a presentation R[X] → S (i.e. a closed embedding S ↪ Aⁿ).

Defined in

Mathlib.RingTheory.Extension.Cotangent.Basic

Cited by

48 results in Mathlib

Foundations

Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebra