A Malcev algebra is a type of algebraic structure that arises in the context of the theory of groups and Lie algebras. More specifically, it is associated with the study of the lower central series of groups and the representation of groups as Lie algebras. In particular, a Malcev algebra can be viewed as a certain kind of algebra that is defined over a ring, typically involving the commutator bracket operation, which reflects the structure of the underlying group.
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