On abelian 2-categories and derived 2-functors

2010/07/19 by Teimuraz Pirashvili, Pirashvili, Teimuraz
Mathematics · #Category Theory (math.CT) #FOS: Mathematics #math.CT

paper · pdf · doi:10.48550/arxiv.1007.4138

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

arxiv created 2010/12/23 · arxiv updated 2010/12/24

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.

Related

• Projective and injective objects in symmetric categorical groups
• 2-categories of symmetric bimodules and their 2-representations
• Higher Dimensional Homology Algebra III:Projective Resolutions and Derived 2-Functors in (2-SGp)
• Abelian categories in dimension 2
• On derived categories and derived functors