2-模和R-2-模的关系(英文)  

The Relation Between 2-Modules and R-2-Modules

作　　者：黄芳[1] 楚彦军[2] 郑驻军[1] 

机构地区：[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

出　　处：《河南大学学报（自然科学版）》2011年第1期1-3,共3页Journal of Henan University:Natural Science

基　　金：National Natural Science Foundation of China(10971071)

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.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.

关 键 词：2-模 R-2-模 预见性的 可加2-函子 

分 类 号：O154.1[理学—数学]