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arxiv: 1807.11889 · v1 · pith:E7SLGTFYnew · submitted 2018-07-31 · 🧮 math.RT · math.LO

Multisorted modules and their model theory

classification 🧮 math.RT math.LO
keywords modulesmultisortedadditiveequivalentlymodeltheoryadditioncategories
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Multisorted modules, equivalently representations of quivers, equivalently additive functors on preadditive categories, encompass a wide variety of additive structures. In addition, every module has a natural and useful multisorted extension by imaginaries. The model theory of multisorted modules works just as for the usual, 1-sorted modules. A number of examples are presented, some in considerable detail.

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