Theorems · Definition · commutative algebra

Algebra.Extension.CotangentSpace

{R : Type u} →
  {S : Type v} →
    [inst : CommRing R] → [inst_1 : CommRing S] → [inst_2 : Algebra R S] → Algebra.Extension R S → Type (max w v)

The cotangent space on P = R[X]. This is isomorphic to Sⁿ with n being the number of variables of P.

Defined in

Mathlib.RingTheory.Extension.Cotangent.Basic

Cited by

73 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebra