Intrinsic Schreier-Mac Lane extension theorem. II: The case of action accessible categories

DOI10.1016/J.JPAA.2012.02.015zbMath1261.18012OpenAlexW1968190970MaRDI QIDQ456846

Dominique Bourn, Andrea Montoli

Publication date: 16 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2012.02.015

zbMATH Keywords

torsorabstract kernelaction accessible categoryfaithful split extensionSchreier-Mac Lane extension theorem

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Homological methods in Lie (super)algebras (17B55) Nonabelian homological algebra (category-theoretic aspects) (18G50) Categorical structures (18D99) Categories and theories (18C99)

Related Items (6)

Extension theory and the calculus of butterflies ⋮ The third cohomology group of a monoid and admissible abstract kernels ⋮ On the classification of Schreier extensions of monoids with non-abelian kernel ⋮ Obstruction theory in action accessible categories ⋮ Action accessibility via centralizers ⋮ Fibred-categorical obstruction theory

Cites Work

• Diagram chasing in Mal'cev categories
• Baer sums in homological categories
• A noncommutative version of Lie algebras: Leibniz algebras
• Centrality and connectors in Maltsev categories.
• A categorical approach to commutator theory
• Commutator theory, action groupoids, and an intrinsic Schreier-Mac Lane extension theorem
• Obstruction theory in algebraic categories. II
• Homology
• Aspherical abelian groupoids and their directions
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