Asymptotic growth of codimensions of identities of associative algebras |
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| Authors: | A. Giambruno M. V. Zaicev |
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| Affiliation: | 1. Dipartimento di Matematica e Informatica, Universit? di Palermo, Via Archirafi 34, 90123, Palermo, Italy
2. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia
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| 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. |
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