Aspherical abelian groupoids and their directions

DOI10.1016/S0022-4049(01)00093-7zbMath1015.18001MaRDI QIDQ5960401

Dominique Bourn

Publication date: 7 April 2002

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

zbMATH Keywords

cohomologytorsorsabelian groupoidsaspherical groupoidclosed monoidal structuresinternal groupoidsleft exact categoryMal'cev operationprotomodular categories

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

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Cites Work

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• The tower of n-groupoids and the long cohomology sequence
• An interpretation of the cohomology groups \(H^ n(G,M)\)
• Crossed \(n\)-fold extensions of groups and cohomology
• Mal'cev varieties
• Normal subobjects and abelian objects in protomodular categories
• Affine categories and naturally Mal'cev categories
• Cohomology theory in abstract groups. III. Operator homomorphisms of kernels