Geodesic
Varieties of solvable index-two alternative algebras over a~field of characteristic three
Matematičeskie zametki, Tome 66 (1999) no. 4, pp. 556-566

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The subvarieties of the variety $\mathrm{Alt}_2$ of solvable index-two alternative algebras over an arbitrary field of characteristic 3 are studied. The main types of such varieties are singled out in the language of identities, and inclusions between these types are established. The main results is the following. Theorem. {\it The topological rank of the variety $\mathrm{Alt}_2$ of solvable index-two alternative algebras over an arbitrary field of characteristic $3$ is equal to five}. 
@article{MZM_1999_66_4_a10,
     author = {S. V. Pchelintsev},
     title = {Varieties of solvable index-two alternative algebras over a~field of characteristic three},
     journal = {Matemati\v{c}eskie zametki},
     pages = {556--566},
     publisher = {mathdoc},
     volume = {66},
     number = {4},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1999_66_4_a10/}
}
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S. V. Pchelintsev. Varieties of solvable index-two alternative algebras over a~field of characteristic three. Matematičeskie zametki, Tome 66 (1999) no. 4, pp. 556-566. http://geodesic.mathdoc.fr/item/MZM_1999_66_4_a10/