Education, Science, Technology, Innovation and Life
Open Access
Sign In

Some Conclusions of the Derivatives of Leibniz triple systems

Download as PDF

DOI: 10.23977/jaip.2020.040211 | Downloads: 10 | Views: 771


Gao Rui 1, Fan Yongyan 1


1 Department of Mathmatics, Cangzhou Normal University, Cangzhou, Hebei, 061001, China

Corresponding Author

Gao Rui


According to the definitions of the centroid and the generalized derivation of Leibniz triple systems, some conclusions of centroid of Leibniz triple systems are developed. In particular, a kind of construction of Leibniz triple system is given in this paper.


Leibniz triple system, Centroid, Construction


Gao Rui, Fan Yongyan. Some Conclusions of the Derivatives of Leibniz triple systems. Journal of Artificial Intelligence Practice (2021) Vol. 4: 71-73. DOI:


[1] BREMNER M R,SANCHEZ-ORTEGA J. Leibniz triple systems [J]. Communications in Contemporary Mathematics, 2014, 16(1):1350051.
[2] Cao Yan, Du Desheng,Chen Liangyun. The centroid of a Leibniz triple system and its properties [J]. Journal of Natural Science of Heilongjiang University, 2015, 32(5):614-617.
[3] Gao Rui, Zhang Weiwei. Generalized Derivations of Leibniz Triple System[J]. Academic Journal of Humanities& Social Sciences, 2020,11(3):104-111.
[4] Zhou Jia, Wang Zenghui. Generalized derivation of Jordan-Lie algebra [J]. Journal of Jilin University (Natural Science), 2017, 55(4):765-770.
[5] Zhou Jia, Ma Lili. Generalized derivation of Leibniz algebra [J]. Journal of Jilin University (Natural Science), 2016, 54(6):1221-1225.
[6] MA Y, CHEN L. Some Structures of Leibniz triple systems [J]. arXiv preprint arXiv: 1407.3978, 2014.
[7] Zhao Guanhua. Generalized derivation of Lie triple system [J]. Journal of Liaocheng University (Natural Science), 2004, 17(3):19-20.

Downloads: 6832
Visits: 190978

Sponsors, Associates, and Links

All published work is licensed under a Creative Commons Attribution 4.0 International License.

Copyright © 2016 - 2031 Clausius Scientific Press Inc. All Rights Reserved.