Theorems · Definition · nonassociative algebras

LieHom.toNonUnitalAlgHom

{R : Type u} →
  {L : Type v} →
    [inst : CommRing R] →
      [inst_1 : LieRing L] →
        [inst_2 : LieAlgebra R L] →
          {L₂ : Type w} →
            [inst_3 : LieRing L₂] →
              [inst_4 : LieAlgebra R L₂] → (L →ₗ⁅R⁆ L₂) → CommutatorRing L →ₙₐ[R] CommutatorRing L₂

Regarding the LieRing of a LieAlgebra as a NonUnitalNonAssocRing, we can regard a LieHom as a NonUnitalAlgHom.

Defined in

Mathlib.Algebra.Lie.NonUnitalNonAssocAlgebra

Cited by

2 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext

Assumes

CommRingLieRingLieAlgebraLieRingLieAlgebra