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Cartan Subalgebras of Leibniz n-Algebras |
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| Authors: | S. Albeverio Sh. A. Ayupov R. M. Turdibaev |
| Affiliation: | 1. Institut für Angewandte Mathematik, Universit?t Bonn , Bonn , Germany;2. Institute of Mathematics and Information Technologies, Uzbekistan Academy of Science , Tashkent , Uzbekistan;3. Department of Mathematics , National University of Uzbekistan , Tashkent , Uzbekistan |
| Abstract: | The present article 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. |
| Keywords: | Cartan subalgebra Leibniz n-algebra n-Lie algebra Regular element |