Theorems · Definition · nonassociative algebras

LieHom.IsIdealMorphism

{R : Type u} →
  {L : Type v} →
    {L' : Type w₂} →
      [inst : CommRing R] →
        [inst_1 : LieRing L] →
          [inst_2 : LieRing L'] → [inst_3 : LieAlgebra R L'] → [inst_4 : LieAlgebra R L] → (L →ₗ⁅R⁆ L') → Prop

The condition that the range of a morphism of Lie algebras is an ideal.

Defined in

Mathlib.Algebra.Lie.Ideal

Cited by

10 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieRingLieAlgebraLieAlgebra