Higher Dimensional Homology Algebra II:Projectivity
Category Theory
2010-06-25 v1 Mathematical Physics
math.MP
Abstract
In this paper, we will prove that the 2-category (2-SGp) of symmetric 2-groups and 2-category (-2-Mod) of -2-modules(\cite{5}) have enough projective objects, respectively.
Cite
@article{arxiv.1006.4677,
title = {Higher Dimensional Homology Algebra II:Projectivity},
author = {Fang Huang and Shao-Han Chen and Wei Chen and Zhu-Jun Zheng},
journal= {arXiv preprint arXiv:1006.4677},
year = {2010}
}
Comments
10 pages, 4 figures. This is the second paper of the series works on higher dimensional homology algebra. The first paper is "2-Modules and the Representation of 2-Rings\cite{4}". In the coming papers, we shall give the definition of injective object in the 2-category ($\cR$-2-Mod), prove that this 2-category has enough injective objects and develop the (co)homology theory of it