Sturmian Words and Uncountable Set of Almost Nilpotent Varieties of Quadratic Growth / S. P. Mishchenko and N. P. Panov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2017. № 6. P. 55-59 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 251-254].

An almost nilpotent variety of quadratic growth is constructed and studied in the paper for any infinite Sturmian word.

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

№ 6/2017