Theorems · Definition · commutative algebra

Algebra.Generators.H1Cotangent.equiv

{R : Type u} →
  {S : Type v} →
    [inst : CommRing R] →
      [inst_1 : CommRing S] →
        [inst_2 : Algebra R S] →
          {ι : Type w} →
            {ι' : Type u_1} →
              (P : Algebra.Generators R S ι) →
                (P' : Algebra.Generators R S ι') → P.toExtension.H1Cotangent ≃ₗ[S] P'.toExtension.H1Cotangent

H¹(L_{S/R}) is independent of the presentation chosen.

Defined in

Mathlib.RingTheory.Extension.Cotangent.Basic

Cited by

4 results in Mathlib

Foundations

Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebra