On the structures of split Leibniz triple systems

Published 25 Nov 2014 in math.RA | (1411.7026v1)

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 $T$ being of maximal length, the simplicity of the Leibniz triple systems is characterized.

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