Cartan Subalgebras of Leibniz $n$-Algebras
Sergio AlbeverioInstitüt für Angewandte Mathematik, Universität Bonn, Bonn, GermanySh. A. AyupovInstitute of Mathematics and information technologies, Uzbekistan Academy of Science, Tashkent, UzbekistanB. A. OmirovInstitute of Mathematics and information technologies, Uzbekistan Academy of Science, Tashkent, UzbekistanRustam TurdibaevDepartment of Mathematics , National University of Uzbekistan , Tashkent , Uzbekistan
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Abstract
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.
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