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Leibniz algebras whose solvable ideal is the maximal extension of the nilradical
K. K. Abdurasulov, Z. Kh. Shermatova
The paper is devoted to the so-called complete Leibniz algebras. It is known that a Lie algebra with a complete ideal is split. We will prove that this result is valid for Leibniz…
Solvable extensions of the naturally graded quasi-filiform Leibniz algebras
K. K. Abdurasulov, J. Q. Adashev
The present article is a part of the study of solvable Leibniz algebras with a given nilradical. In this paper solvable Leibniz algebras, whose nilradicals is naturally graded quas…
On some solvable Leibniz algebras and their completeness
K. K. Abdurasulov, B. A. Omirov, I. S. Rakhimov
The paper is devoted studying solvable Leibniz algebras with a nilradical possessing the codimension equals the number of its generators. We describe this class in non-split nilrad…
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…
On derivations and low-dimensional (co)homology groups of pro-sovable Lie algebras associated with and
K. K. Abdurasulov, I. S. Rakhimov, G. O. Solijanova
In the paper we describe the derivations of two -graded infinity-dimensional Lie algebras and what are positive parts of affine Kats-Moody…
Outer derivations of complex solvable Lie algebras with nilradical of maximal rank
K. K. Abdurasulov, R. Q. Gaybullayev
In the present paper we prove the existence outer derivations finite-dimensional solvable Lie algebras with nilradical of maximal rank and complementary subspace to nilardical of d…