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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 3, Pages 42–46 (Mi vmumm152)  
This article is cited in 4 scientific papers (total in 4 papers)

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Almost nilpotent varieties with non-integer exponents do exist

S. P. Mishchenko

Ulyanovsk State University, Faculty of Mathematics and Information Technologies
Full-text PDF (320 kB) Citations (4)
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Abstract: In this paper we prove the existence of almost nilpotent variety of linear algebras such that an exponent of it is not integer. Examples of almost nilpotent varieties with integer exponents were known previously.
Key words: variety of linear algebras, identity, growth of the codimensions.
Received: 25.11.2015
English version:
Moscow University Mathematics Bulletin, 2016, Volume 71, Issue 3, Pages 115–118
DOI: https://doi.org/10.3103/S0027132216030062
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: S. P. Mishchenko, “Almost nilpotent varieties with non-integer exponents do exist”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 3, 42–46; Moscow University Mathematics Bulletin, 71:3 (2016), 115–118
Citation in format AMSBIB
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\paper Almost nilpotent varieties with non-integer exponents do exist
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\pages 42--46
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\pages 115--118
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Linking options:
  • https://www.mathnet.ru/eng/vmumm152
  • https://www.mathnet.ru/eng/vmumm/y2016/i3/p42
    • This publication is cited in the following 4 articles:
    1. Sergey P. Mishchenko, Angela Valenti, Springer INdAM Series, 44, Polynomial Identities in Algebras, 2021, 291  crossref
    2. S. P. Mishchenko, A. Valenti, “An uncountable family of almost nilpotent varieties of polynomial growth”, J. Pure Appl. Algebr., 222:7 (2018), 1758–1764  crossref  mathscinet  zmath  isi  scopus
    3. S. P. Mishchenko, “Infinite periodic words and almost nilpotent varieties”, Moscow University Mathematics Bulletin, 72:4 (2017), 173–176  mathnet  crossref  mathscinet  isi
    4. S. P. Mishchenko, N. P. Panov, “Sturmian words and uncountable set of almost nilpotent varieties of quadratic growth”, Moscow University Mathematics Bulletin, 72:6 (2017), 251–254  mathnet  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:239
    Full-text PDF :48
    References:55
     
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