On one variety of alternative algebras

A. N. Vaulin

Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 4, pp. 23-34.

Résumé

We consider the variety of alternative algebras with the identity of index $5$ Lie nilpotency. We prove that the variety of alternative algebras over a field of characteristic different from 2 and 3 with the identity $[[[[x_1,x_2],x_3],x_4],x_5]=0$ has the Specht property.

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