On the description of Leibniz superalgebras of nilindex
L.M. CamachoDepartamento Matemática Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes, s/n. 41012 Sevilla, SpainJ.R. GómezDepartamento Matemática Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes, s/n. 41012 Sevilla, SpainAbror KhudoyberdiyevInstitute of Mathematics and Information Technologies of Academy of Uzbekistan, 29, F. Hodjaev srt., 100125, Tashkent, UzbekistanB. A. OmirovInstitute of Mathematics and Information Technologies of Academy of Uzbekistan, 29, F. Hodjaev srt., 100125, Tashkent, Uzbekistan
ABI
Abstract
Abstract. In this work we investigate complex Leibniz superalgebras with characteristic sequence and nilindex , where , n and m ( ) are dimensions of even and odd parts, respectively. Such superalgebras with the condition were completely classified. In the present paper, we prove that in the case the Leibniz superalgebras have nilindex less than . Thus, we obtain the classification of Leibniz superalgebras with characteristic sequence and nilindex .
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