On the second cohomology group in semi-abelian categories

DOI10.1016/j.jpaa.2007.06.009zbMath1136.18003arXivmath/0511357OpenAlexW2140019003MaRDI QIDQ2463862

Marino Gran, Tim Van der Linden

Publication date: 6 December 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511357

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Abelian categories, Grothendieck categories (18E10)

Related Items (21)

Directions for the long exact cohomology sequence in Moore categories ⋮ Relative commutator theory in varieties of \(\Omega\)-groups ⋮ The Yoneda isomorphism commutes with homology ⋮ Normalities and commutators ⋮ Weighted commutators in semi-abelian categories ⋮ Higher central extensions and cohomology ⋮ Unnamed Item ⋮ Resolutions, higher extensions and the relative Mal'tsev axiom ⋮ A note on the ``Smith is Huq condition ⋮ Relative commutator theory in semi-abelian categories ⋮ Frattini subobjects and extensions in semi-abelian categories ⋮ On Lie-central extensions of Leibniz algebras ⋮ Central reflections and nilpotency in exact Mal'tsev categories ⋮ Composites of central extensions form a relative semi-abelian category ⋮ A push forward construction and the comprehensive factorization for internal crossed modules ⋮ Peri-abelian categories and the universal central extension condition ⋮ Universal central extensions in semi-abelian categories ⋮ Baer invariants and cohomology of precrossed modules ⋮ Universal central extensions of internal crossed modules via the non-abelian tensor product ⋮ On satellites in semi-abelian categories: Homology without projectives ⋮ Abstractly constructed prime spectra

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