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- W2555976629 abstract "In this paper, we investigate the Leibniz triple system $T$ and its universal Leibniz envelope $U(T)$. The involutive automorphism of $U(T)$ determining $T$ is introduced, which gives a characterization of the $Z_2$-grading of $U(T)$. We give the relationship between the solvable radical $R(T)$ of $T$ and $Rad(U(T))$, the solvable radical of $U(T)$. Further, Levi's theorem for Leibniz triple systems is obtained. Moreover, the relationship between the nilpotent radical of $T$ and that of $U(T)$ is studied. Finally, we introduce the notion of representations of a Leibniz triple system." @default.
- W2555976629 created "2016-11-30" @default.
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- W2555976629 date "2014-07-15" @default.
- W2555976629 modified "2023-09-27" @default.
- W2555976629 title "Some structures of Leibniz triple systems" @default.
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