Theorems · Theorem · commutative algebra

Algebra.IsInvariant.charpoly_mem_lifts

∀ (A : Type u_1) (B : Type u_2) (G : Type u_3) [inst : CommRing A] [inst_1 : CommRing B] [inst_2 : Algebra A B]
  [inst_3 : Group G] [inst_4 : MulSemiringAction G B] [Algebra.IsInvariant A B G] [inst_6 : Fintype G] (b : B),
  MulSemiringAction.charpoly G b ∈ Polynomial.lifts (algebraMap A B)

Defined in

Mathlib.RingTheory.Invariant.Basic

Cited by

3 results in Mathlib

Foundations

Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraGroupMulSemiringActionAlgebra.IsInvariantFintype