Perfect Lie algebra

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This article defines a property for a Lie algebra

This article defines the analogue in Lie algebra of the following group property: [[perfect group]][[Category:Analogues in other algebraic structures of perfect group]]

Definition

A Lie algebra is said to be perfect if it equals its own commutator ideal. In other words, a Lie algebra is said to be perfect if every element of the Lie algebra is in the ideal generated by commutators.

Relation with other properties

Stronger properties