Theorems · Theorem · commutative algebra

IsFractionRing.liftAlgHom_toRingHom

∀ {R : Type u_1} [inst : CommRing R] {A : Type u_4} [inst_1 : CommRing A] {K : Type u_5} [inst_2 : Field K]
  {L : Type u_7} [inst_3 : Field L] [inst_4 : Algebra A K] [inst_5 : IsFractionRing A K] [inst_6 : Algebra R A]
  [inst_7 : Algebra R K] [inst_8 : IsScalarTower R A K] [inst_9 : Algebra R L] {g : A →ₐ[R] L}
  (hg : Function.Injective ⇑g), (IsFractionRing.liftAlgHom hg).toRingHom = IsFractionRing.lift hg

Defined in

Mathlib.RingTheory.Localization.FractionRing

Cited by

0 results in Mathlib

Foundations

Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingFieldFieldAlgebraIsFractionRingAlgebraAlgebraIsScalarTowerAlgebra