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// Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
// Archive
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.,
2023
Number 3,
Pages
64–67
(Mi vmumm4543)
Short notes
Maximal PI-exponents of finite-dimensional algebras
M. V. Zaicev
Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
We construct a series of examples of finite-dimensional algebras such that their PI-exponent coincides with the dimension. All these algebras are not simple.
Key words:
identities, codimensions, nonassociative algebras, PI-exponent.
UDC:
512.572
Received:
06.07.2022
DOI:
10.55959/MSU0579-9368-1-64-3-11
Fulltext:
PDF file (212 kB)
References
English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2023,
78
:3,
153–155
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2024
Fulltext:
PDF file (212 kB)