Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 3, Pages 54–56 (Mi vmumm323)  
This article is cited in 1 scientific paper (total in 1 paper)

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Asymptotic growth of codimensions of identities of associative algebras

A. Giambrunoa, M. V. Zaicevb

a Università degli Studi di Palermo
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: Numerical characteristics of identities of associative and non-associative algebras are studied in the paper. It is announced that the sequence of codimensions of an arbitrary associative PI-algebra asymptotically increases and that this is not true in the general non-associative case.
Key words: identities, codimensions, monotone growth.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00234-а
Received: 25.02.2013
English version:
Moscow University Mathematics Bulletin, 2014, Volume 69, Issue 3, Pages 125–127
DOI: https://doi.org/10.3103/S0027132214030073
Bibliographic databases:
Document Type: Article
UDC: 512.572
Language: Russian
Citation: A. Giambruno, M. V. Zaicev, “Asymptotic growth of codimensions of identities of associative algebras”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 3, 54–56; Moscow University Mathematics Bulletin, 69:3 (2014), 125–127
Citation in format AMSBIB
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\paper Asymptotic growth of codimensions of identities of associative algebras
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2014
\issue 3
\pages 54--56
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2014
\vol 69
\issue 3
\pages 125--127
\crossref{https://doi.org/10.3103/S0027132214030073}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84903835148}
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    • This publication is cited in the following 1 articles:
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