Modules as exact functors
classification
🧮 math.RT
math.CTmath.LOmath.RA
keywords
exactabeliancategorydefinedefinitiondifferentequivalentexamples
read the original 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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