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Some aspects of semi-abelian homology and protoadditive functors. (English) Zbl 1395.18015

Summary: In this note some recent developments in the study of homology in semi-abelian categories are briefly presented. In particular the role of protoadditive functors in the study of Hopf formulae for homology is explained.

MSC:

18G50 Nonabelian homological algebra (category-theoretic aspects)
18E10 Abelian categories, Grothendieck categories
20J99 Connections of group theory with homological algebra and category theory