Eilenberg-Watts calculus for finite categories and a bimodule Radford $S^4$ theorem

@article{Fuchs2016EilenbergWattsCF,
  title={Eilenberg-Watts calculus for finite categories and a bimodule Radford \$S^4\$ theorem},
  author={J. Fuchs and Gregor Schaumann and C. Schweigert},
  journal={arXiv: Representation Theory},
  year={2016}
}
We obtain Morita invariant versions of Eilenberg-Watts type theorems, relating Deligne products of finite linear categories to categories of left exact as well as of right exact functors. This makes it possible to switch between different functor categories as well as Deligne products, which is often very convenient. For instance, we can show that applying the equivalence from left exact to right exact functors to the identity functor, regarded as a left exact functor, gives a Nakayama functor… Expand
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