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Lie ring

  

Lie ring

In mathematics a Lie Ring is defined as a nonassociative ring with multiplication, usually denoted , having the following properties

  • Bilinearity:

for all a, b ∈ F and all x, y, z ∈ g.

  • The Jacobi identity:

for all x, y, z in g.

  • For all x in g.
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