Theorems · Definition · commutative algebra

StandardEtalePresentation.baseChange

{R : Type u_1} →
  {S : Type u_2} →
    {T : Type u_3} →
      [inst : CommRing R] →
        [inst_1 : CommRing S] →
          [inst_2 : CommRing T] →
            [inst_3 : Algebra R S] →
              [inst_4 : Algebra R T] → StandardEtalePresentation R S → StandardEtalePresentation T (TensorProduct R T S)

The base change of a standard etale algebra is standard etale.

Defined in

Mathlib.RingTheory.Etale.StandardEtale

Cited by

1 results in Mathlib

Foundations

Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingCommRingAlgebraAlgebra