Mathlib Map

Theorems · Definition · commutative algebra

Algebra.Extension.Cotangent

{R : Type u} →
  {S : Type v} → [inst : CommRing R] → [inst_1 : CommRing S] → [inst_2 : Algebra R S] → Algebra.Extension R S → Type w

The cotangent space of an extension. This is a type synonym so that P.Ring can act on it through the action of S without creating a diamond.

Defined in
Mathlib.RingTheory.Extension.Basic
Cited by
121 results in Mathlib
Foundations
Depth 70 from the axioms, rests on 1,115 definitions · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRingAlgebra

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by147

Results whose statement or proof uses this declaration.