CARTAN SUBALGEBRAS OF LEIBNIZ n-ALGEBRAS
نویسنده
چکیده
The present paper is devoted to the investigation of properties of Cartan subalgebras and regular elements in Leibniz n-algebras. The relationship between Cartan subalgebras and regular elements of given Leibniz n-algebra and Cartan subalgebras and regular elements of the corresponding factor n-Lie algebra is established. 1 Institut für Angewandte Mathematik, Universität Bonn, Wegelerstr. 6, D-53115 Bonn (Germany); SFB 611, BiBoS; IZKS, CERFIM (Locarno); Acc. Arch. (USI), e-mail: [email protected] 2 Institute of Mathematics and Information Technologies, Uzbekistan Academy of Science, F. Hodjaev str. 29, 100125, Tashkent (Uzbekistan), e-mail: sh [email protected] 3 Institute of Mathematics and Information Technologies, Uzbekistan Academy of Science, F. Hodjaev str. 29, 100125, Tashkent (Uzbekistan), e-mail: [email protected] 4 Department of Mathematics, National University of Uzbekistan, Vuzgorogok, 27, 100174, Tashkent (Uzbekistan), e-mail: [email protected] AMS Subject Classifications (2000): 17A32, 17A42, 17A60.
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