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Commutator algebras of right alternative algebras. (Russian) Zbl 0723.17028

As is well known, the commutator algebra of an associative algebra is a Lie algebra; and the commutator algebra of an alternative algebra is a Malcev algebra. The author proves here that if R is a right alternative algebra, over a field of characteristic 0, then the commutator algebra of R is a Bol algebra.

MSC:

17D15 Right alternative rings
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