FPM 2004, vol. 10, no. 4, pp. 23-34

FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2004, VOLUME 10, NUMBER 4, PAGES 23-34

On one variety of alternative algebras

A. N. Vaulin

Abstract

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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,x₂],x₃],x₄],x₅] = 0 has the Specht property.

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