Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 2, Pages 53–57 (Mi vmumm225)  
This article is cited in 10 scientific papers (total in 10 papers)

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Almost nilpotent varieties of arbitrary integer exponent

S. P. Mishchenkoa, O. V. Shulezhkob

a Ulyanovsk State University, Faculty of Mathematics and Information Technologies
b Ul'yanovsk State Pedagogical University
Full-text PDF (335 kB) Citations (10)
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Abstract: Varieties of linear algebras with the square lying in the right annihilator are considered. In the case of field of characteristic zero, it is proved that for any integer $m$ there exists an almost nilpotent variety with PI-exponent is equal to $m$.
Key words: variety of linear algebras, identity, growth of the codimensions.
Received: 10.02.2014
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 2, Pages 92–95
DOI: https://doi.org/10.3103/S0027132215020084
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: S. P. Mishchenko, O. V. Shulezhko, “Almost nilpotent varieties of arbitrary integer exponent”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 2, 53–57; Moscow University Mathematics Bulletin, 70:2 (2015), 92–95
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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