Theorems · Definition · linear algebra

exteriorPower.map

{R : Type u} →
  [inst : CommRing R] →
    (n : ℕ) →
      {M : Type u_1} →
        {N : Type u_2} →
          [inst_1 : AddCommGroup M] →
            [inst_2 : Module R M] →
              [inst_3 : AddCommGroup N] → [inst_4 : Module R N] → (M →ₗ[R] N) → ↥(⋀[R]^n M) →ₗ[R] ↥(⋀[R]^n N)

The linear map between nth exterior powers induced by a linear map between the modules.

Defined in

Mathlib.LinearAlgebra.ExteriorPower.Basic

Cited by

14 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleAddCommGroupModule