高维同调代数IV:$\cR$-2-模中的投射分解与导出2-函子
范畴论
2010-08-20 v1 数学物理
K理论与同调
math.MP
摘要
本文中,我们将构造任意-2-模的投射分解,定义导出2-函子,并给出导出2-函子的一些相关性质。
引用
@article{arxiv.1008.3260,
title = {Higher Dimensional Homology Algebra IV:Projective 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:1008.3260},
year = {2010}
}
备注
17pages, 32 figures, This is the fourth paper of the series of our works on higher dimensional homological algebra. In the coming papers, we shall define the right derived 2-functor in the 2-categories (2-SGp) and ($\cR$-2-Mod), and give some relations of left derived 2-functors and right derived 2-functors