2-Modules and the Representation of 2-Rings

Mathematics – Category Theory

Scientific paper

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78 pages, 99 figures

Scientific paper

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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