Intrinsic centrality and associated classifying properties

DOI10.1016/S0021-8693(02)00149-7zbMath1015.18003MaRDI QIDQ1858212

Dominique Bourn

Publication date: 12 February 2003

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

zbMATH Keywords

additivityMal'cevcentralityunital categoryarithmeticalleft exact pointed category

Mathematics Subject Classification ID

Related Items (24)

Normal Sections and Direct Product Decompositions ⋮ Cover relations on categories ⋮ Subtractive categories and extended subtractions ⋮ Closedness properties of internal relations. III: Pointed protomodular categories ⋮ On congruence modular varieties and Gumm categories ⋮ Baer sums in homological categories ⋮ Two characterisations of groups amongst monoids ⋮ Weighted commutators in semi-abelian categories ⋮ Commutative objects, central morphisms and subtractors in subtractive categories ⋮ Split short five lemma for clots and subtractive categories ⋮ Unnamed Item ⋮ Relative commutator theory in semi-abelian categories ⋮ Action accessibility via centralizers ⋮ Unnamed Item ⋮ On the second cohomology group in semi-abelian categories ⋮ Anticommutativity and the triangular lemma ⋮ Two ways to centralizers of equivalence relations ⋮ On the direct image of intersections in exact homological categories ⋮ Unnamed Item ⋮ Characterizations of majority categories ⋮ Majority categories ⋮ On the Naturalness of Mal’tsev Categories ⋮ Categorical Commutator Theory ⋮ Subtractive categories

Cites Work

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• Diagram chasing in Mal'cev categories
• Normal subobjects and abelian objects in protomodular categories
• Affine categories and naturally Mal'cev categories
• Arithmetical categories and commutator theory
• Mal'cev categories and fibration of pointed objects
• COMMUTATOR, NILPOTENCY, AND SOLVABILITY IN CATEGORIES
• Semi-abelian categories

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