Theorems · Theorem · commutative algebra

IsIntegralClosure.isTorsionFree

∀ (R : Type u_1) {A : Type u_2} (B : Type u_3) [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : CommRing B]
  [inst_3 : Algebra R B] [inst_4 : Algebra A B] [IsIntegralClosure A R B] [inst_6 : Module R A] [IsScalarTower R A B]
  [Module.IsTorsionFree R B], Module.IsTorsionFree R A

Defined in

Mathlib.RingTheory.IntegralClosure.IsIntegralClosure.Basic

Cited by

2 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Quot.sound

Assumes

CommRingCommRingCommRingAlgebraAlgebraIsIntegralClosureModuleIsScalarTowerModule.IsTorsionFree