Theorems · Definition · commutative algebra

Algebra.PreSubmersivePresentation.ofAlgEquiv

{R : Type u} →
  {S : Type v} →
    {ι : Type w} →
      {σ : Type t} →
        [inst : CommRing R] →
          [inst_1 : CommRing S] →
            [inst_2 : Algebra R S] →
              Algebra.PreSubmersivePresentation R S ι σ →
                {T : Type u_1} →
                  [inst_3 : CommRing T] →
                    [inst_4 : Algebra R T] → (S ≃ₐ[R] T) → Algebra.PreSubmersivePresentation R T ι σ

Transport a pre-submersive presentation along an algebra isomorphism.

Defined in

Mathlib.RingTheory.Extension.Presentation.Submersive

Cited by

5 results in Mathlib

Foundations

Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraCommRingAlgebra