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Matematicheskie Zametki, 2007, Volume 82, Issue 1, Pages 108–117
DOI: https://doi.org/10.4213/mzm3758 (Mi mzm3758) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The Growth of Varieties of Leibniz Algebras with Nilpotent Commutator Subalgebra

S. M. Ratseev

Ulyanovsk State University
Full-text PDF (437 kB) Citations (6)
References:
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DOI: https://doi.org/10.4213/mzm3758
Abstract: It is proved that the exponents of certain varieties of Leibniz algebras with nilpotent commutator subalgebras exist and are integer.
Keywords: Leibniz algebra, growth of a variety, exponent of a variety, Young diagram, colength of a variety, partition of an integer.
Received: 28.10.2005
English version:
Mathematical Notes, 2007, Volume 82, Issue 1, Pages 96–103
DOI: https://doi.org/10.1134/S0001434607070127
Bibliographic databases:
UDC: 512.572
Language: Russian
Citation: S. M. Ratseev, “The Growth of Varieties of Leibniz Algebras with Nilpotent Commutator Subalgebra”, Mat. Zametki, 82:1 (2007), 108–117; Math. Notes, 82:1 (2007), 96–103
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm3758
  • https://www.mathnet.ru/eng/mzm/v82/i1/p108
    • This publication is cited in the following 6 articles:
    1. O. V. Shulezhko, N. P. Panov, “O pochti nilpotentnykh mnogoobraziyakh antikommutativnykh metabelevykh algebr”, PDM, 2017, no. 38, 35–48  mathnet  crossref
    2. S. M. Ratseev, “Complexity Functions of Varieties of Leibniz Algebras with Nilpotent Commutator Subalgebra”, Math. Notes, 98:3 (2015), 525–528  mathnet  crossref  crossref  mathscinet  isi  elib
    3. S. M. Ratseev, “Ob assotsiativnykh algebrakh slabogo rosta”, Vestn. SamGU. Estestvennonauchn. ser., 2014, no. 7(118), 70–74  mathnet
    4. S. M. Ratseev, “Identities in the varieties generated by the algebras of upper triangular matrices”, Siberian Math. J., 52:2 (2011), 329–339  mathnet  crossref  mathscinet  isi
    5. S. M. Ratseev, “Growth in Poisson algebras”, Algebra and Logic, 50:1 (2011), 46–61  mathnet  crossref  mathscinet  zmath  isi  elib
    6. S. M. Ratseev, “Otsenki rosta mnogoobrazii algebr Leibnitsa s nilpotentnym kommutantom”, Vestn. SamGU. Estestvennonauchn. ser., 2010, no. 4(78), 65–72  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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