Theorems · Theorem · commutative algebra

Algebra.Extension.tensorToH1Cotangent_bijective_of_flat

∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
  (P : Algebra.Extension R S) (T : Type u_3) [inst_3 : CommRing T] [inst_4 : Algebra R T] [Module.Flat R T],
  Function.Bijective ⇑(P.tensorToH1Cotangent T)

If T is R-flat, the canonical map T ⊗[R] P.H1Cotangent →ₗ[T] (P.baseChange T).H1Cotangent is bijective.

Defined in

Mathlib.RingTheory.Extension.Cotangent.BaseChange

Cited by

0 results in Mathlib

Foundations

Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraCommRingAlgebraModule.Flat