Central reflections and nilpotency in exact Mal'tsev categories

DOI10.1007/s40062-016-0165-8zbMath1397.18021arXiv1511.00824OpenAlexW3099178527MaRDI QIDQ684105

Clemens Berger, Dominique Bourn

Publication date: 9 February 2018

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00824

zbMATH Keywords

nilpotencycentral extensionMal'tsev categoryGoodwillie functor calculus

Mathematics Subject Classification ID

Nilpotent groups (20F18) Nonabelian homological algebra (category-theoretic aspects) (18G50) Solvable, nilpotent (super)algebras (17B30) Abelian categories, Grothendieck categories (18E10)

Related Items

The dual polyhedral product, cocategory and nilpotence ⋮ A characterisation of Lie algebras via algebraic exponentiation ⋮ Associativity and the cosmash product in operadic varieties of algebras ⋮ Unnamed Item ⋮ Extracting a \(\Sigma \)-Mal'tsev \((\Sigma \)-protomodular) structure from a Mal'tsev (protomodular) subcategory ⋮ On the ``three subobjects lemma and its higher-order generalisations ⋮ A survey of homotopy nilpotency and co-nilpotency ⋮ On the Naturalness of Mal’tsev Categories ⋮ On homotopy nilpotency

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