On one variety of alternative algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 4, pp. 23-34
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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 $[[[[x_1,x_2],x_3],x_4],x_5]=0$ has the Specht property.
@article{FPM_2004_10_4_a2,
author = {A. N. Vaulin},
title = {On one variety of alternative algebras},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {23--34},
publisher = {mathdoc},
volume = {10},
number = {4},
year = {2004},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2004_10_4_a2/}
}
A. N. Vaulin. On one variety of alternative algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 4, pp. 23-34. http://geodesic.mathdoc.fr/item/FPM_2004_10_4_a2/