Theorems · Definition · commutative algebra

Algebra.Presentation.differentialsRelations

{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.Presentation R S ι σ → Module.Relations S

The shape of the presentation by generators and relations of the S-module Ω[S⁄R] that is obtained from a presentation of S as an R-algebra.

Defined in

Mathlib.Algebra.Module.Presentation.Differentials

Cited by

6 results in Mathlib

Foundations

Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebra