Graded Identities in Finite-Dimensional Algebras of Codimensions of Identities in Associative Algebras / M. V. Zaicev. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2015. № 5. P. 54-57 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 234-236].

Numerical characteristics of identities in finite-dimensional \mathbb Z_2-algebras are studied in the paper. We prove that the graded colength of any such algebra is a polynomially bounded function.

Key words: identities, symmetric group action, colength.

№ 5/2015