6 papers
Quasi-derivations of Block Lie algebras
Ivan Kaygorodov, Abror Khudoyberdiyev, Zarina Shermatova
We compute quasi-derivations of Block Lie algebras . In particular, we prove that has various nontrivial quasi-derivations, i.e., quasi-derivations…
Quasi-derivations of Witt and related algebras
Ivan Kaygorodov, Abror Khudoyberdiyev, Zarina Shermatova
In the present work, we compute quasi-derivations of the Witt algebra and some algebras well-related to the Witt algebra. Namely, we prove that each quasi-derivation of the Witt al…
Transposed Poisson structures on the extended Schrödinger-Virasoro and the original deformative Schrödinger-Virasoro algebras
Zarina Shermatova
We compute 1/2-derivations on the extended Schrödinger-Virasoro algebras and the original deformative Schrödinger-Virasoro algebras. The extended Schrödinger-Virasoro algebras have…
Transposed Poisson structures on Virasoro-type algebras
Ivan Kaygorodov, Abror Khudoyberdiyev, Zarina Shermatova
We compute -derivations on the deformed generalized Heisenberg-Virasoro algebras and on not-finitely graded Heisenberg-Virasoro algebras , $\widetild…
Transposed Poisson structures on Witt-type algebras
Ivan Kaygorodov, Abror Khudoyberdiyev, Zarina Shermatova
We compute -derivations on the deformative Schrödinger-Witt algebra, on not-finitely graded Witt algebras , and on not-finitely graded Heisenberg-Witt algebra…
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…