| Rota-Baxter配对模系统和弯曲Rota-Baxter配对模系统 |
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| 引用本文： | 张雨欣,郑斯航,房莹,郑慧慧,张良云. Rota-Baxter配对模系统和弯曲Rota-Baxter配对模系统[J]. 山东大学学报(理学版), 2021, 56(8): 6-14. DOI: 10.6040/j.issn.1671-9352.0.2020.619 |
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| 作者姓名： | 张雨欣 郑斯航 房莹 郑慧慧 张良云 |
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| 作者单位： | 南京农业大学理学院,江苏 南京210095 |
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| 基金项目： | 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) |
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| 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。
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| 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 |
Rota-Baxter paired module system and curved Rota-Baxter paired module system |
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| ZHANG Yu-xin,ZHENG Si-hang,FANG Ying,ZHENG Hui-hui,ZHANG Liang-yun. Rota-Baxter paired module system and curved Rota-Baxter paired module system[J]. Journal of Shandong University, 2021, 56(8): 6-14. DOI: 10.6040/j.issn.1671-9352.0.2020.619 |
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| Authors: | ZHANG Yu-xin ZHENG Si-hang FANG Ying ZHENG Hui-hui ZHANG Liang-yun |
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| Affiliation: | College of Sciences, Nanjing Agricultural University, Nanjing 210095, Jiangsu, China |
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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. |
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| Keywords: | Rota-Baxter system Rota-Baxter paired module system curved Rota-Baxter paired module system Hopf algebra pre-Lie module dendriform module |
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