Rota-Baxter配对模系统和弯曲Rota-Baxter配对模系统  

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

作　　者：张雨欣 郑斯航 房莹 郑慧慧 张良云[1] ZHANG Yu-xin;ZHENG Si-hang;FANG Ying;ZHENG Hui-hui;ZHANG Liang-yun(College of Sciences,Nanjing Agricultural University,Nanjing 210095,Jiangsu,China)

机构地区：[1]南京农业大学理学院,江苏南京210095

出　　处：《山东大学学报（理学版）》2021年第8期6-14,共9页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11571173);国家大学生实践创新训练计划资助项目(202010307062Z)。

摘　　要：首先引入了Rota-Baxter配对模系统以及弯曲Rota-Baxter配对模系统的概念,并由它们构造了pre-Lie模与树状模。最后,由半单Hopf代数中的积分分别构造了Rota-Baxter配对模系统与弯曲Rota-Baxter配对模系统。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.

关 键 词：Rota-Baxter系统 Rota-Baxter配对模系统 弯曲Rota-Baxter配对模系统 HOPF代数 pre-Lie模 树状模 

分 类 号：O153.3[理学—数学]