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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 2, Pages 322–329
DOI: https://doi.org/10.33048/smzh.2020.61.207 (Mi smj5984) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The theory of formal languages and identities of nonassociative algebras

M. V. Zaiceva, D. D. Repovšb

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b University of Ljubljana
Full-text PDF (441 kB) Citations (2)
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DOI: https://doi.org/10.33048/smzh.2020.61.207
Abstract: We consider the numerical characteristics of identities of nonassociative algebras and propose a method for constructing some algebra $A(w)$ with prescribed properties of the codimension growth function. The growth of codimensions of $A(w)$ is completely determined by the combinatorial complexity of the language of subwords of $w$.
Keywords: identity, codimension, binary word, combinatorial complexity.
Funding agency Grant number
Russian Science Foundation 16-11-10013
American Roentgen Ray Society P1-0292
M. V. Zaicev is partially supported by the Russian Science Foundation (Grant 16-11-10013), and D. D. RepovЕЎ is partially supported by the Slovenia Research Agency (Grant P1-0292).
Received: 28.06.2019
Revised: 28.06.2019
Accepted: 18.10.2019
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 2, Pages 255–260
DOI: https://doi.org/10.1134/S003744662002007X
Bibliographic databases:
Document Type: Article
UDC: 512.572
MSC: 35R30
Language: Russian
Citation: M. V. Zaicev, D. D. Repovš, “The theory of formal languages and identities of nonassociative algebras”, Sibirsk. Mat. Zh., 61:2 (2020), 322–329; Siberian Math. J., 61:2 (2020), 255–260
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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