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Prikladnaya Diskretnaya Matematika, 2015, Number 2(28), Pages 30–36
DOI: https://doi.org/10.17223/20710410/28/3 (Mi pdm504) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Theoretical Foundations of Applied Discrete Mathematics

Almost nilpotent varieties of Leibniz algebras

Yu. Yu. Frolova, O. V. Shulezhko

Ulyanovsk State University, Ulyanovsk, Russia
Full-text PDF (549 kB) Citations (8)
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DOI: https://doi.org/10.17223/20710410/28/3
Abstract: It is proved that there exist exactly two almost nilpotent varieties of Leibniz algebras over a field of zero characteristic.
Keywords: Leibniz algebra, Lie algebra, almost nilpotent variety, Young diagram.
Bibliographic databases:
Document Type: Article
UDC: 512.55
Language: Russian
Citation: Yu. Yu. Frolova, O. V. Shulezhko, “Almost nilpotent varieties of Leibniz algebras”, Prikl. Diskr. Mat., 2015, no. 2(28), 30–36
Citation in format AMSBIB
\Bibitem{FroShu15}
\by Yu.~Yu.~Frolova, O.~V.~Shulezhko
\paper Almost nilpotent varieties of Leibniz algebras
\jour Prikl. Diskr. Mat.
\yr 2015
\issue 2(28)
\pages 30--36
\mathnet{http://mi.mathnet.ru/pdm504}
\crossref{https://doi.org/10.17223/20710410/28/3}
Linking options:
  • https://www.mathnet.ru/eng/pdm504
  • https://www.mathnet.ru/eng/pdm/y2015/i2/p30
    • This publication is cited in the following 8 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. N. P. Panov, “O pochti nilpotentnykh mnogoobraziyakh s tseloi eksponentoi”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 17:3 (2017), 331–343  mathnet  crossref  elib
    4. O. V. Shulezhko, N. P. Panov, “O pochti nilpotentnykh mnogoobraziyakh antikommutativnykh metabelevykh algebr”, PDM, 2017, no. 38, 35–48  mathnet  crossref
    5. S. P. Mishchenko, N. P. Panov, “Sturmian words and uncountable set of almost nilpotent varieties of quadratic growth”, Mosc. Univ. Math. Bull., 72:6 (2017), 251–254  mathnet  crossref  mathscinet  zmath  isi  scopus
    6. S. P. Mishchenko, “Infinite periodic words and almost nilpotent varieties”, Mosc. Univ. Math. Bull., 72:4 (2017), 173–176  mathnet  crossref  mathscinet  zmath  isi  scopus
    7. N. P. Panov, “Novye svoistva pochti nilpotentnykh mnogoobrazii s tselymi eksponentami”, Chebyshevskii sb., 18:4 (2017), 306–325  mathnet  crossref  elib
    8. S. P. Mishchenko, “Almost nilpotent varieties with non-integer exponents do exist”, Moscow University Mathematics Bulletin, 71:3 (2016), 115–118  mathnet  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
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