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math.RA2021
On maximal solvable extensions of a pure non-characteristically nilpotent Lie algebra
K. K. Abdurasulov, B. A. Omirov
In this paper we introduce the notion of pure non-characteristically nilpotent Lie algebra and under a condition we prove that a complex maximal extension of a finite-dimensional p…
math.RA2021
Residually solvable extensions of an infinite dimensional filiform Leibniz algebra
K. K. Abdurasulov, B. A. Omirov, I. S. Rakhimov +1
In the paper the class of all solvable extensions of a filiform Leibniz algebra in the infinite-dimensional case is classified. The filiform Leibniz algebra is taken as a maximal p…