2-模和R-2-模的关系(英文)

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

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.