Geodesic
Almost nilpotent varieties of arbitrary integer exponent
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2015), pp. 53-57 Cet article a éte moissonné depuis la source Math-Net.Ru

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Varieties of linear algebras with the square lying in the right annihilator are considered. In the case of field of characteristic zero, it is proved that for any integer $m$ there exists an almost nilpotent variety with PI-exponent is equal to $m$. 
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     author = {S. P. Mishchenko and O. V. Shulezhko},
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S. P. Mishchenko; O. V. Shulezhko. Almost nilpotent varieties of arbitrary integer exponent. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2015), pp. 53-57. http://geodesic.mathdoc.fr/item/VMUMM_2015_2_a10/

[1] Giambruno A., Zaicev M., Polynomial identities and asymptotic methods, Math. Surveys and Monogr., 122, Amer. Math. Soc., Providence, RI, 2005 | DOI | MR | Zbl

[2] Frolova Yu.Yu., Shulezhko O.V., “O pochti nilpotentnykh mnogoobraziyakh algebr Leibnitsa”, Algebra i teoriya chisel: sovremennye problemy i prilozheniya, Tez. dokl. XI Mezhdunar. konf., Izd-vo Saratov. un-ta, Saratov, 2013, 84–85

[3] Mishchenko S., Valenti A., “An almost nilpotent variety of exponent 2”, Isr. J. Math., 199 (2014), 241–258 | DOI | MR

[4] Zaitsev M.V., Mischenko S.P., “O kodline mnogoobrazii lineinykh algebr”, Matem. zametki, 79:4 (2006), 553–559 | DOI | Zbl