Theorems · Definition · commutative algebra

Algebra.PreSubmersivePresentation.jacobian

{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 → [Finite σ] → S

The Jacobian of a P : PreSubmersivePresentation is the determinant of P.differential viewed as element of S.

Defined in

Mathlib.RingTheory.Extension.Presentation.Submersive

Cited by

31 results in Mathlib

Foundations

Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraFinite