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. © 2014 Allerton Press, Inc.
Giambruno, A., Zaicev, M. (2014). Asymptotic growth of codimensions sequences of identities of associative algebras. MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 69(3), 125-127 [10.3103/S0027132214030073].
Asymptotic growth of codimensions sequences of identities of associative algebras
GIAMBRUNO, Antonino;
2014-01-01
Abstract
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. © 2014 Allerton Press, Inc.
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