JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (8): 6-14.doi: 10.6040/j.issn.1671-9352.0.2020.619

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Rota-Baxter paired module system and curved Rota-Baxter paired module system

ZHANG Yu-xin, ZHENG Si-hang, FANG Ying, ZHENG Hui-hui, ZHANG Liang-yun*   

  1. College of Sciences, Nanjing Agricultural University, Nanjing 210095, Jiangsu, China
  • Published:2021-08-09

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Abstract: Firstly, the concepts of Rota-Baxter paired module system and curved Rota-Baxter paired module system are introduced. Then, pre-Lie module and dendriform module are constructed from them. Lastly, Rota-Baxter paired module system and curved Rota-Baxter paired module system are constructed from the integral in semisimple Hopf algebra.

Key words: Rota-Baxter system, Rota-Baxter paired module system, curved Rota-Baxter paired module system, Hopf algebra, pre-Lie module, dendriform module

CLC Number: 

  • O153.3
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