Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/4573
Title: Some aspects of Leibniz algebra theory
Authors: Kirichenko, V.V.
Kurdachenko, L.A.
Pypka, A.A.
Subbotin, I.Ya.
Keywords: Leibniz algebra
cyclic Leibniz algebra
left (right) center
lower (upper) central series
finite dimensional Leibniz algebra
nilpotent Leib- niz algebra
extraspecial Leibniz algebra
bilinear form
left (right) idealizer
Frattini subalgebra
nil-radical
nil-algebra
soluble Leibniz algebra
left (right) subideal
Leibniz T-algebra
Baer radical
Issue Date: 2017
Publisher: ДЗ"ЛНУ імені Тараса Шевченко"
Series/Report no.: Математичні науки;
Abstract: One of the key tendencies in the development of Leibniz algebra theory is the search for analogues of the basic results of Lie algebra theory. In this survey, we consider the reverse situation. Here the main attention is paid to the results reflecting the difference of the Leibniz algebras from the Lie algebras.
Description: Kirichenko V.V. Some aspects of Leibniz algebra theory / V.V. Kirichenko, L.A. Kurdachenko, A.A. Pypka, I.Ya.Subbotin // Algebra and Discrete Mathematics. - 2017. - Vol. 24. - Number 1. - Рp.1-33
URI: http://hdl.handle.net/123456789/4573
Appears in Collections:Algebra and Discrete Mathematics. - № 1 (24). - 2017

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