43 citations · 141 across the 44 of their papers we have counts for
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On the degenerations of solvable Leibniz algebras
J. M. Casas, A. Kh. Khudoyberdiyev, M. Ladra +1
The present paper is devoted to the description of rigid solvable Leibniz algebras. In particular, we prove that solvable Leibniz algebras under some conditions on the nilradical a…
The classification of non-characteristically nilpotent filiform Leibniz algebras
A. Kh. Khudoyberdiyev, M. Ladra, B. A. Omirov
In this paper we investigate the derivations of filiform Leibniz algebras. Recall that the set of filiform Leibniz algebras of fixed dimension is decomposed into three non-intersec…
A characterization of nilpotent Leibniz algebras
Alice Fialowski, A. Kh. Khudoyberdiyev, B. A. Omirov
W. A. Moens proved that a Lie algebra is nilpotent if and only if it admits an invertible Leibniz-derivation. In this paper we show that with the definition of Leibniz-derivation f…