Higher Dimensional Homology Algebra IV:Projective Resolutions and Derived 2-Functors in ($\cR$-2-Mod)
Category Theory
2010-08-20 v1 Mathematical Physics
K-Theory and Homology
math.MP
Abstract
In this paper, we will construct the projective resolution of any -2-module, define the derived 2-functor and give some related properties of the derived 2-functor.
Keywords
Cite
@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}
}
Comments
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