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Vol. 51 No. 3–4 (2025)
Serdica Mathematical Journal

Articles

Codimension growth of finite dimensional algebras

https://doi.org/10.55630/serdica.2025.51.339-350

Published 23-12-2025

  • Mikhail Zaicev

Mikhail Zaicev
Lomonsov Moscow State University

Abstract

We study polynomial identities of algebras over a field \(F\) of characteristic zero. Given an algebra \(A\) over \(F\), one can associate the sequence of non-negative integers \(\{c_n(A)\}, \ n=1,2,\ldots\), called codimension sequence of \(A\), characterizing the number of its identical relations. We discuss asymptotic behavior of codimension sequence in case where \(A\) is a finite dimensional algebra.

2020 Mathematics Subject Classification:

17B01, 16P90, 16R10

Keywords

identities, codimensions, exponential growth

Full text

Author Details

Mikhail Zaicev

Faculty of Mechanics and Mathematics
Lomonsov Moscow State University
119992 Moscow, Russia
e-mail: zaicevmv@mail.ru

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