Geodesic
A linear basis of the free Akivis algebra
Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 2, pp. 181-186 
I. A. Groo. A linear basis of the free Akivis algebra. Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 2, pp. 181-186. http://geodesic.mathdoc.fr/item/FPM_2016_21_2_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We construct a linear basis of a free Akivis algebra.

[1] Akivis M. A., “O lokalnykh algebrakh mnogomernykh tri-tkanei”, Sib. matem. zhurn., 17:1 (1976), 5–11 | MR | Zbl

[2] Bakhturin Yu. A., Tozhdestva v algebrakh Li, Nauka, M., 1985 | MR

[3] Mikhalev A. A., Shestakov I. P., “PBW-pairs of varieties of linear algebras”, Commun. Algebra, 42 (2014), 667–687 | DOI | MR | Zbl

[4] Shestakov I. P., Umirbaev U. U., “Free Akivis algebras, primitive elements, and hyperalgebras”, J. Algebra, 250 (2002), 533–548 | DOI | MR | Zbl