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Solvable Leibniz superalgebras whose nilradical is a Lie superalgebra of maximal nilindex

Abror KhudoyberdiyevInstitute of Mathematics, Uzbekistan Academy of Science, Tashkent, UzbekistanM. LadraKhosiat MuratovaInstitute of Mathematics, Uzbekistan Academy of Science, Tashkent, Uzbekistan
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In this paper, we investigate solvable Leibniz superalgebras whose nilradical is a Lie superalgebra with maximal nilindex.It should be noted that Lie superalgebra with a maximal nilindex only exists in the variety of Lie2,m when m is odd. We give the classification of all solvable Leibniz superalgebras such that even part is a Lie algebra and nilradical is a Lie superalgebra with a maximal index of nilpotency.

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