Theorems · Theorem · commutative algebra

Algebra.FinitePresentation.of_restrict_scalars_finitePresentation

∀ (R : Type w₁) (A : Type w₂) (B : Type w₃) [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : Algebra R A]
  [inst_3 : CommRing B] [inst_4 : Algebra R B] [inst_5 : Algebra A B] [IsScalarTower R A B]
  [Algebra.FinitePresentation R B] [Algebra.FiniteType R A], Algebra.FinitePresentation A B

[Stacks Tag 0561](https://stacks.math.columbia.edu/tag/0561)

Defined in

Mathlib.RingTheory.FinitePresentation

Cited by

2 results in Mathlib

Foundations

Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraCommRingAlgebraAlgebraIsScalarTowerAlgebra.FinitePresentationAlgebra.FiniteType