321 citations · 540 across the 38 of their papers we have counts for
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On the classification of complex Leibniz superalgebras with characteristic sequence and nilindex
S. Albeverio, B. A. Omirov, A. Kh. Khudoyberdiyev
In this work we investigate the complex Leibniz superalgebras with characteristic sequence and with nilindex equal to We prove that such superalge…
Cartan Subalgebras of Leibniz -Algebras
S. Albeverio, Sh. A. Ayupov, B. A. Omirov +1
The present paper is devoted to the investigation of properties of Cartan subalgebras and regular elements in Leibniz -algebras. The relationship between Cartan subalgebras and…
n-Dimensional filiform Leibniz algebras of length (n-1) and their derivations
S. Albeverio, Sh. A. Ayupov, B. A. Omirov +1
In this work -dimensional filiform Leibniz algebras admitting a gradation of length are classified. Derivations of such algebras are also described.
Classification of 4-dimensional nilpotent complex Leibniz algebras
S. Albeverio, B. A. Omirov, I. S. Rakhimov
The Leibniz algebras appeared as a generalization of the Lie algebras. In this work we deal with the classification of nilpotent complex Leibniz algebras of low dimensions. Namely,…