Asymptotic growth of sequences of co-dimensions of associated algebras identities / *A. Jumbruno, M. V. Zaitsev.* // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2014. № 3. P. 54-56
[Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

Numerical characteristics of identities of associative and non-associative algebras are studied in the paper. It is announced that the sequence of codimensions of an arbitrary associative PI-algebra asymptotically increases and that this is not true in the general non-associative case.

*Key words*:
identities, codimensions, monotone growth.