On the structures of split Leibniz triple systems
Yan Cao, Liangyun Chen
TL;DR
This paper investigates the structural properties of split Leibniz triple systems, focusing on root connection techniques and characterizing simplicity in systems of maximal length.
Contribution
It introduces new methods for analyzing root connections and provides a characterization of simplicity for split Leibniz triple systems of maximal length.
Findings
Developed techniques for root connections in Leibniz triple systems
Characterized simplicity in systems of maximal length
Enhanced understanding of the structure of split Leibniz triple systems
Abstract
We study the structures of arbitrary split Leibniz triple systems. By developing techniques of connections of roots for this kind of triple systems, under certain conditions, in the case of being of maximal length, the simplicity of the Leibniz triple systems is characterized.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Differential Equations and Dynamical Systems · Finite Group Theory Research