4 papers
The Solvabilizers and Solvable Graphs in Lie Superalgebras
Baojin Zhang, Liming Tang
In this paper, we introduce the solvabilizer and the solvable graph for a Lie superalgebra and establish their basic properties. Then we define a category which links Lie superalge…
Nilpotentizers and the Nilpotent Graphs: Structural Insights into Lie Superalgebras
Baojin Zhang, Liming Tang
In this paper, we systematically investigate the nilpotentizer and nilpotent graph for a Lie superalgebra over the field of characteristic not equal to 2. First, we establish some…
Second cohomology groups and left-symmetric algebraic structures of the generalized loop Heisenberg-Virasoro algebra
Qingyan Ren, Liming Tang
This is the second paper in our series of papers dedicated to the study of the generalized loop Heisenberg-Virasoro algebra. The first paper is dedicated to the study of maps on th…
Derivations, 2-local derivations, biderivations and automorphisms of generalized Loop Heisenberg-Virasoro algebras
Qingyan Ren, Liming Tang
In this paper, the generalized Loop Heisenberg-Virasoro algebra is introduced. Firstly, we determine the derivations on the generalized Loop Heisenberg-Virasoro algebra. Then we sh…