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Matematicheskie Zametki, 2021, Volume 109, Issue 3, Pages 370–379
DOI: https://doi.org/10.4213/mzm12845 (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
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DOI: https://doi.org/10.4213/mzm12845
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.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics
Slovenian Research Agency Р1-0292
The work of the first-named author was supported by Moscow Center of Fundamental and Applied Mathematics, Moscow State University, in the framework of the project “Structural theory and combinatorial-logic methods in the theory of algebraic systems.” The work of the second-named author was supported by Slovenian Research Agency under grant P1-0292.
Received: 20.07.2020
Revised: 08.10.2020
English version:
Mathematical Notes, 2021, Volume 109, Issue 3, Pages 405–412
DOI: https://doi.org/10.1134/S0001434621030081
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: M. V. Zaicev, D. D. Repovš, “Colength Growth Functions of Nonassociative Algebras”, Mat. Zametki, 109:3 (2021), 370–379; Math. Notes, 109:3 (2021), 405–412
Citation in format AMSBIB
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\transl
\jour Math. Notes
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\vol 109
\issue 3
\pages 405--412
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