Author(s)

Gao Rui ¹, Fan Yongyan ¹

Affiliation(s)

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

Corresponding Author

Gao Rui

ABSTRACT

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.

KEYWORDS

Leibniz triple system, Centroid, Construction

CITE THIS PAPER

Gao Rui, Fan Yongyan. Some Conclusions of the Derivatives of Leibniz triple systems. Journal of Artificial Intelligence Practice (2021) Vol. 4: 71-73. DOI: http://dx.doi.org/10.23977/jaip.2020.040211

REFERENCES

[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.

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