Solvable Leibniz superalgebras whose nilradical is a Lie superalgebra of maximal nilindex
Abror KhudoyberdiyevInstitute of Mathematics, Uzbekistan Academy of Science, Tashkent, UzbekistanM. LadraKhosiat MuratovaUniversity of Santiago de Compostela, Spain
ABI
Аннотация
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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