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math.RA2025
Lie affgebra structures on three-dimensional solvable Lie algebras
Kh. R. Berdalova, A. Kh. Khudoyberdiyev
In this work, the complex Lie affgebra structures on three-dimensional solvable Lie algebras are completely determined.
math.RA2025
Abelian extensions of five-dimensional solvable Leibniz algebras
A. Kh. Khudoyberdiyev, S. A. Sheraliyeva
In this work, we extend the central extension method for solvable Leibniz algebras. Using this method, a complete classification of one-dimensional abelian extensions of five-dimen…
math.RA2025★ 1 cited
The geometric classification of nilpotent Lie-Yamaguti, Bol and compatible Lie algebras
Kobiljon Abdurasulov, Abror Khudoyberdiyev, Feruza Toshtemirova
The geometric classifications of complex -dimensional nilpotent Lie-Yamaguti algebras, -dimensional nilpotent Bol algebras, and -dimensional nilpotent compatible Lie algeb…