Article

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

Bulletin of National University of Uzbekistan Mathematics and Natural Sciencesjournal2019en

ABI

Abstract

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.

Topics

Advanced Topics in Algebra Algebraic structures and combinatorial models Nonlinear Waves and Solitons

Identifiers

DOI: 10.56017/2181-1318.1019

Citations and references

Cited by 2 15 references

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