Theorems · Theorem · commutative algebra

retractionOfSectionOfKerSqZero_comp_kerToTensor

∀ {R : Type u_1} {P : Type u_2} {S : Type u_3} [inst : CommRing R] [inst_1 : CommRing P] [inst_2 : CommRing S]
  [inst_3 : Algebra R P] [inst_4 : Algebra P S] [inst_5 : Algebra R S] [inst_6 : IsScalarTower R P S] (g : S →ₐ[R] P)
  (hf' : RingHom.ker (algebraMap P S) ^ 2 = ⊥) (hg : (IsScalarTower.toAlgHom R P S).comp g = AlgHom.id R S),
  retractionOfSectionOfKerSqZero g hf' hg ∘ₗ KaehlerDifferential.kerToTensor R P S = LinearMap.id

Defined in

Mathlib.RingTheory.Smooth.Kaehler

Cited by

0 results in Mathlib

Foundations

Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingCommRingAlgebraAlgebraAlgebraIsScalarTower