Maqola

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

Forum Mathematicumjournal2010en

ABI

Annotatsiya

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 .

Mavzular

Advanced Topics in Algebra Algebraic structures and combinatorial models Homotopy and Cohomology in Algebraic Topology

Identifikatorlar

DOI: 10.1515/form.2011.085

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