On the ``three subobjects lemma and its higher-order generalisations

DOI10.1016/j.jalgebra.2019.10.049zbMath1471.18011arXiv1904.00161OpenAlexW2932157318WikidataQ124974760 ScholiaQ124974760MaRDI QIDQ2285291

Cyrille Sandry Simeu, Tim Van der Linden

Publication date: 8 January 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.00161

zbMATH Keywords

nilpotencycross-effectHiggins commutatoralgebraically coherent categorysemi-abelian

Mathematics Subject Classification ID

Cohomology of groups (20J06) Nilpotent groups (20F18) Nonabelian homological algebra (category-theoretic aspects) (18G50) Solvable, nilpotent (super)algebras (17B30) Abelian categories, Grothendieck categories (18E10) Protomodular categories, semi-abelian categories, Mal'tsev categories (18E13)

Related Items (1)

An intrinsic approach to the non-abelian tensor product via internal crossed squares

Cites Work

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• A note on the ``Smith is Huq condition
• On the normality of Higgins commutators
• Normalities and commutators
• Quadratic functors on pointed categories
• Central reflections and nilpotency in exact Mal'tsev categories
• Higher central extensions and cohomology
• Smash product of pointed objects in lextensive categories
• A categorical approach to commutator theory
• Mal'cev categories and fibration of pointed objects
• Algebraic exponentiation in general categories
• The ternary commutator obstruction for internal crossed modules
• Resolutions, higher extensions and the relative Mal'tsev axiom
• A characterisation of Lie algebras amongst anti-commutative algebras
• A decomposition formula for the weighted commutator
• Higher Hopf formulae for homology via Galois theory
• \(N\)-fold Čech derived functors and generalised Hopf type formulas
• Obstruction theory in algebraic categories. I
• Internal object actions in homological categories
• Groups with Multiple Operators
• Algebraically coherent categories
• Nilpotency and Dimension Series for Loops
• On torsion-free nilpotent loops
• Iterated Peiffer pairings in the Moore complex of a simplicial group
• Semi-abelian categories

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