Theorems · Definition · linear algebra

ExteriorAlgebra.exteriorPower

(R : Type u1) →
  [inst : CommRing R] →
    ℕ → (M : Type u2) → [inst_1 : AddCommGroup M] → [inst_2 : Module R M] → Submodule R (ExteriorAlgebra R M)

Definition of the nth exterior power of an R-module M. We introduce the notation ⋀[R]^n M for exteriorPower R n M.

Defined in

Mathlib.LinearAlgebra.ExteriorAlgebra.Basic

Cited by

66 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModule