| 2-模和R-2-模的关系 |
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| 引用本文： | 黄芳,楚彦军,郑驻军.2-模和R-2-模的关系[J].河南大学学报(自然科学版),2011,41(1). |
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| 作者姓名： | 黄芳 楚彦军 郑驻军 |
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| 作者单位： | 1. 华南理工大学,理学院数学系,广州,510640
2. 河南大学,数学与信息科学学院,河南,开封,475004 |
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| 基金项目： | National Natural Science Foundation of China(10971071) |
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| 摘 要： | 在范畴化理论的基础上,利用预见性范畴和可加2-函子的性质,证明了2-模和R-2模之间的关系,从而得到其相关理论的对应关系,并拓展进一步研究和应用2-模理论,对研究高维同调代数理论有重要作用.
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| 关 键 词： | 2-模 R-2-模 预见性的 可加2-函子 |
The Relation Between 2-Modules and R-2-Modules |
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| HUANG Fang,CHU Yan-Jun,ZHENG Zhu-Jun.The Relation Between 2-Modules and R-2-Modules[J].Journal of Henan University(Natural Science),2011,41(1). |
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| Authors: | HUANG Fang CHU Yan-Jun ZHENG Zhu-Jun |
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| Institution: | HUANG Fang1,CHU Yan-Jun2,ZHENG Zhu-Jun1(1.Department of Mathematics,South China University of Technology,Guangzhou 510640,China,2.School of Mathematics and Information Science,Henan University,Kaifeng 475004,China) |
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| Abstract: | Based on the theory of categorization,we prove that there is a relation between the 2-modules and R-2-modules,using the properties of preadditive categories and additive 2-functors.Then we obtain the correspondence between the theories related to these 2-modules,which can expand the farther research and applications of the theory of 2-modules,which plays an important role in the study of higher dimensional homological algebra theory. |
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| Keywords: | 2-modules R-2-modules preadditive additive 2-functors |
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