Lie Ring

A Lie ring is defined as a nonassociative ring with multiplication that is anticommutative and satisfies the Jacobi identity. More specifically we can define a Lie ring to be an abelian group with an operation that has the following properties:

  • Bilinearity:
for all x, y, z ∈ L.
  • The Jacobi identity:
for all x, y, z in L.
  • For all x in L.

Read more about Lie Ring:  Examples

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