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. 69, N 3, 2014.].

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.