2-Modules and the Representation of 2-Rings

Fang Huang; Shao-Han Chen; Wei Chen; Zhu-Jun Zheng

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arXiv · 1005.2831

2-Modules and the Representation of 2-Rings

Fang Huang·Shao-Han Chen·Wei Chen·Zhu-Jun Zheng

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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 $\cR$, we prove that its modules form a 2-Abelian category.

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BibTeX RIS

Fang Huang, Shao-Han Chen, Wei Chen, Zhu-Jun Zheng. 2010-05-17. 2-Modules and the Representation of 2-Rings. https://arxiv.org/abs/1005.2831

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