Commutators and central extensions in universal algebra

DOI10.1016/S0022-4049(02)00170-6zbMath1020.08003MaRDI QIDQ1855451

Marino Gran

Publication date: 5 February 2003

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

zbMATH Keywords

groupoidcommutatorcentral extensioncongruence-modular varietyabelian objects

Mathematics Subject Classification ID

Congruence modularity, congruence distributivity (08B10) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (3)

Category ofG-Groups and its Spectral Category ⋮ Universal central extensions of internal crossed modules via the non-abelian tensor product ⋮ Monoidal characterisation of groupoids and connectors

Cites Work

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• Central extensions in universal algebra: A unification of three notions
• A categorical approach to commutator theory
• Arithmetical categories and commutator theory
• Geometrical methods in congruence modular algebras
• \(3\times 3\) lemma and protomodularity

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