On certain classes of Malcev algebras

Abstract

This note is a sequel to the author's earlier paper [5]. For brevity we adopt the notations and definitions employed in Q5] without explaining them here again. This note is concerned only with Malcev algebras (finite-dimensional) belonging to the classes of general algebras dealt with in \Ί5Γ\. As is well-known (see e.g. E6]), a Malcev algebra A is an anticommutative algebra satisfying the identity (x, y, z in A):