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Almost nilpotent varieties of Leibniz algebras | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2015. № 2 (28).

It is proved that there exist exactly two almost nilpotent varieties of Leibniz algebras over a field of zero characteristic.
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  • Title Almost nilpotent varieties of Leibniz algebras
  • Headline Almost nilpotent varieties of Leibniz algebras
  • Publesher Tomask State UniversityTomsk State University
  • Issue Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics 2 (28)
  • Date:
  • DOI
Keywords
алгебра Ли, алгебра Лейбница, почти нильпотентное многообразие, диаграмма Юнга, Leibniz algebra, Lie algebra, almost nilpotent variety, Young diagram
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References
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Giambruno A. and Zaicev M. Polynomial identities and asymptotic methods. American Mathematical Society Providence, RI, 2005. 352 p.
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Drensky V. and Cattaneo G. M. P. Varieties of metabelian Leibniz algebras // J. Algebra Appl. 2002. V. 1. No. 1. P. 31-50.
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Фролова Ю. Ю. О нильпотентности энгелевой алгебры Лейбница // Вестник Московского государственного университета. Сер. 1. Математика. Механика. 2011. №3. С. 63-65. REFERENCES
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Giambruno A. and Zaicev M. Polynomial identities and asymptotic methods. American Mathematical Society Providence, RI, 2005. 352 p.
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Drensky V. and Cattaneo G.M.P. Varieties of metabelian Leibniz algebras. J. Algebra Appl., 2002, vol.1, no. 1, pp. 31-50.
Cherevatenko O. I. Nekotorye effekty rosta tozhdestv lineynykh algebr [Some Effects of Linear Algebra Identities Increase.] PhD Thesis, Ul'yanovsk, 2008. 69 p. (in Russian)
Frolova Yu. Yu. O nil'potentnosti engelevoy algebry Leybnitsa [On the nilpotency of Engel Leibniz algebra.] MSU Bulletin. Ser. 1. Mathematics. Mechanics. 2011, no.3, pp. 63-65. (in Russian)
Almost nilpotent varieties of Leibniz algebras | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2015. № 2 (28).
Almost nilpotent varieties of Leibniz algebras | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2015. № 2 (28).
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