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arXiv · 1801.08015

Modules as exact functors

Mike Prest
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Abstract

We can define a module to be an exact functor on a small abelian category. This is explained and shown to be equivalent to the usual definition but it does offer a different perspective, inspired by the notions from model theory of imaginary sort and interpretation. A number of examples are worked through.

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Mike Prest. 2018-01-24. Modules as exact functors. https://arxiv.org/abs/1801.08015

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