32 citations · 96 across the 19 of their papers we have counts for
19 papers
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…
The automorphism groups and derivation algebras of two-dimensional algebras
H. Ahmed, U. Bekbaev, I. Rakhimov
The automorphisms groups and derivation algebras of all two-dimensional algebras over algebraically closed fields are described.
Rigidity of some classes of Lie algebras in connection to Leibniz algebras
A. O. Abdulkareem, I. S. Rakhimov, SH. K. Said Hussain
In this paper we focus on algebraic aspects of contractions of Lie and Leibniz algebras. The rigidity of algebras plays an important role in the study of their varieties. The rigid…
Complete Classification of Two-Dimensional Algebras
H. Ahmed, U. Bekbaev, I. Rakhimov
A complete classification of two-dimensional algebras over algebraically closed fields is provided