Almost Nilpotent Varieties with Non-Integer Exponents Do Exist / S. P. Mishchenko. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2016. № 3. P. 42-46 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 115-118].
The existence of an almost nilpotent variety of linear algebras with noninteger exponent is proved. Examples of almost nilpotent varieties with integer exponents were only known so far.
Key words: variety of linear algebras, identity, growth of the codimensions.