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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