Some aspects of Leibniz algebra theory

• Datum: 2017
• Hauptverfasser: Kirichenko, Vladimir V., Kurdachenko, Leonid A., Pypka, Aleksandr A., Subbotin, Igor Ya.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2017
• Schlagworte: Leibniz algebra; cyclic Leibniz algebra; left (right) center; lower (upper) central series; finite dimensional Leibniz algebra; nilpotent Leibniz algebra; extraspecial Leibniz algebra; bilinear form; left (right) idealizer; Frattini subalgebra; 17A32; 17A60
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/473
• Назва журналу: Algebra and Discrete Mathematics

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...