Theorems · Definition · linear algebra

ExteriorAlgebra.invertibleAlgebraMapEquiv

{R : Type u1} →
  [inst : CommRing R] →
    (M : Type u2) →
      [inst_1 : AddCommGroup M] →
        [inst_2 : Module R M] → (r : R) → Invertible ((algebraMap R (ExteriorAlgebra R M)) r) ≃ Invertible r

Invertibility in the exterior algebra is the same as invertibility of the base ring.

Defined in

Mathlib.LinearAlgebra.ExteriorAlgebra.Basic

Cited by

2 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModule