Theorems · Definition · linear algebra

Module.End.UnifEigenvalues

{R : Type v} →
  {M : Type w} → [inst : CommRing R] → [inst_1 : AddCommGroup M] → [inst_2 : Module R M] → Module.End R M → ℕ∞ → Type v

Let M be an R-module, and f an R-linear endomorphism of M. For k : ℕ∞, we define UnifEigenvalues f k to be the type of all μ : R that satisfy f.HasUnifEigenvalue μ k. For k = 1 this is the type of all eigenvalues of f.

Defined in

Mathlib.LinearAlgebra.Eigenspace.Basic

Cited by

1 results in Mathlib

Foundations

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

Assumes

CommRingAddCommGroupModule