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Mat. Zametki, 2021 Volume 109, Issue 3, Pages 370–379 (Mi mzm12845)
Colength Growth Functions of Nonassociative Algebras

M. V. Zaiceva, D. D. Repovšbc

a Moscow Center for Fundamental and Applied Mathematics
b University of Ljubljana
c Institute of Mathematics, Physics and Mechanics

Abstract: Numerical characteristics of identities of nonassociative algebras are considered. A series of algebras with subexponential colength growth is constructed.

Keywords: identity, colength, growth function.

UDC: 512.554

Received: 20.07.2020
Revised: 08.10.2020

DOI: 10.4213/mzm12845


 English version: Mathematical Notes, 2021, 109:3, 405–412

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© Steklov Math. Inst. of RAS, 2024