For small categories over a fixed object set, cohomology can be computed via direction functors on S-special morphisms, matching Hoff and Golasinski cohomology in every degree.
Bourn,Mal’tsev reflection, S-Mal’tsev and S-protomodular categories, preprint Cahiers LMPA, n
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A direction functor approach to the cohomology of small categories
For small categories over a fixed object set, cohomology can be computed via direction functors on S-special morphisms, matching Hoff and Golasinski cohomology in every degree.