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math.RA2022
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…
math.RA2022
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…
math.RA2022
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…