FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 2, PAGES 89-100

**On Spechtian varieties of right alternative algebras**

A. M. Kuz'min

Abstract

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A sufficient condition is proved for the Specht property of
varieties of right alternative metabelian algebras over a field
of characteristic distinct from $2$.
As a consequence, the Specht property of some varieties generated
by right alternative metabelian algebras $\backslash mathcal\; A$ satisfying
a commutator identity is stated.
In particular, it is proved that if $\backslash mathcal\; A(-)$ is
a binary Lie algebra, then $var\; (\backslash mathcal\; A)$ is Spechtian.

Location: http://mech.math.msu.su/~fpm/eng/k06/k062/k06205h.htm

Last modified: June 17, 2006