Geodesic
Almost nilpotent varieties of arbitrary integer exponent
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2015), pp. 53-57

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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},
     title = {Almost nilpotent varieties of arbitrary integer exponent},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {53--57},
     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_2_a10/}
}
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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/