Polynomial growth of the codimensions: a characterization

Giambruno, A.; Mishchenko, S.

doi:10.1090/S0002-9939-09-10160-0

Polynomial growth of the codimensions: a characterization
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by A. Giambruno and S. Mishchenko PDF

Proc. Amer. Math. Soc. 138 (2010), 853-859 Request permission

Abstract:

Let $A$ be a not necessarily associative algebra over a field of characteristic zero. Here we characterize the T-ideal of identities of $A$ in case the corresponding sequence of codimensions is polynomially bounded.

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