2-Modules and the Representation of 2-Rings
Category Theory
2015-03-17 v2 Mathematical Physics
Algebraic Geometry
K-Theory and Homology
math.MP
Abstract
In this paper, we develop 2-dimensional algebraic theory which closely follows the classical theory of modules. The main results are giving definitions of 2-module and the representation of 2-ring. Moreover, for a 2-ring , we prove that its modules form a 2-Abelian category.
Cite
@article{arxiv.1005.2831,
title = {2-Modules and the Representation of 2-Rings},
author = {Fang Huang and Shao-Han Chen and Wei Chen and Zhu-Jun Zheng},
journal= {arXiv preprint arXiv:1005.2831},
year = {2015}
}
Comments
78 pages, 99 figures