Theorems · Definition · nonassociative algebras

LieRinehartAlgebra.Hom.id

{R : Type u_1} →
  {A₁ : Type u_2} →
    {L₁ : Type u_3} →
      [inst : CommRing R] →
        [inst_1 : CommRing A₁] →
          [inst_2 : LieRing L₁] →
            [inst_3 : Module A₁ L₁] →
              [inst_4 : LieRingModule L₁ A₁] →
                [inst_5 : Algebra R A₁] → [inst_6 : LieAlgebra R L₁] → LieRinehartAlgebra.Hom (AlgHom.id R A₁) L₁ L₁

The identity morphism of a Lie-Rinehart algebra over the identity algebra homomorphism of the underlying algebra.

Defined in

Mathlib.Algebra.LieRinehartAlgebra.Defs

Cited by

1 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext

Assumes

CommRingCommRingLieRingModuleLieRingModuleAlgebraLieAlgebra