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Multisorted modules and their model theory
Published 31 Jul 2018 in math.RT and math.LO | (1807.11889v1)
Abstract: 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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