On abelian 2-categories and derived 2-functors

Mathematics – Category Theory

Scientific paper

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

Scientific paper

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.

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