Theorems · Definition · commutative algebra

Algebra.Generators.equivH1Cotangent

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

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

Defined in: Mathlib.RingTheory.Extension.Cotangent.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing CommRing Algebra

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Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

RingHom.idstatement · cited by 18,349
CommRingstatement and proof · cited by 17,173
Algebrastatement and proof · cited by 11,388
LinearEquivstatement · cited by 3,317
Algebra.Generatorsstatement and proof · cited by 152
Algebra.Generators.toExtensionstatement · cited by 103
Algebra.Extension.H1Cotangentstatement · cited by 49
Algebra.H1Cotangentstatement · cited by 27
Algebra.Generators.selfstatement and proof · cited by 22
Algebra.Generators.H1Cotangent.equivproof · cited by 4

Cited by2

Results whose statement or proof uses this declaration.

Algebra.tensorH1CotangentOfFlatproof · cited by 2
Algebra.Generators.cotangentRestrict_bijective_of_isComplproof · cited by 1