2-Modules and the Representation of 2-Rings
classification
🧮 math.CT
math-phmath.AGmath.KTmath.MP
keywords
modulesrepresentationringtheoryabelianalgebraiccategoryclassical
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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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