Mikheev, P. O. 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 PDF BibTeX XML Cite \textit{P. O. Mikheev}, Mat. Issled. 113, 62--65 (1990; Zbl 0723.17028) Full Text: EuDML OpenURL