高维同调代数 V:($\cR$-2-Mod)中的内射分解与导出2-函子
范畴论
2010-08-30 v1 高能物理 - 理论
K理论与同调
摘要
在本文中,我们将构造任意-2-模的内射分解,定义右导出2-函子,并给出(-2-Mod)中导出2-函子的一些相关性质。
引用
@article{arxiv.1008.4701,
title = {Higher Dimensional Homology Algebra V:Injective Resolutions and Derived 2-Functors in ($\cR$-2-Mod)},
author = {Fang Huang and Shao-Han Chen and Wei Chen and Zhu-Jun Zheng},
journal= {arXiv preprint arXiv:1008.4701},
year = {2010}
}
备注
29 pages, 57 figures. This paper is the fifth paper of the series of our works on higher dimensional homology algebra. In our coming papers, we shall define $\cE$xt 2-functor and spectral sequence in an abelian 2-category, try to give the relation between $\cE$xt 2-functor and the extension of 2-modules