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math.RA2026
Local (Anti-)Superderivations on Nilpotent Lie Superalgebras
Xiaohui Chi, Huiyi Zhang, Lingxin Meng +1
In this paper, we study local superderivations and local anti-superderivations of finite-dimensional nilpotent Lie superalgebras over a field with $\operatorname{char}\…
math.RA2026
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…
math.RA2026
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…