English

On abelian 2-categories and derived 2-functors

Category Theory 2010-12-24 v4

Abstract

This is an extended version of my earlier articel "Projective and injective objects in symmetric categorical groups. arXiv:1007.0121v1." Several new facts added, including the material on the derived 2-functors and the proof of the Gabriel-Mitchel theorem and the Morita theory for 2-rings.

Keywords

Cite

@article{arxiv.1007.4138,
  title  = {On abelian 2-categories and derived 2-functors},
  author = {Teimuraz Pirashvili},
  journal= {arXiv preprint arXiv:1007.4138},
  year   = {2010}
}

Comments

We add a new section on the cohomology of 2-groups

R2 v1 2026-06-21T15:52:16.629Z