Geodesic
Prime alternative algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 651-657 
S. V. Pchelintsev. Prime alternative algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 651-657. http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a11/
@article{FPM_1998_4_2_a11,
     author = {S. V. Pchelintsev},
     title = {Prime alternative algebras},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {651--657},
     year = {1998},
     volume = {4},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a11/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The existence of commutative alternative prime nil-algebras of index 3 that generate different varieties is proved.