Almost nilpotent manifolds of an arbitrary integer exponential / S. P. Mishchenko, O. V. Shulezhko. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2015. № 2. P. 53-57 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 92-95].

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.

Key words: variety of linear algebras, identity, growth of the codimensions.