Document Zbl 0723.17028

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

Mat. Issled. 113, 62-65 (1990).

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.

Reviewer: H.F.Smith (Armidale)

Cited in 4 Documents

MSC:

17D15

Right alternative rings

Keywords:

right alternative algebra; commutator algebra; Bol algebra

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

MSC:

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