Arithmetical categories and commutator theory
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Publication:1923805
DOI10.1007/BF00122258zbMath0939.18005MaRDI QIDQ1923805
Publication date: 13 October 1996
Published in: Applied Categorical Structures (Search for Journal in Brave)
Topoi (18B25) Equational logic, Mal'tsev conditions (08B05) Abelian categories, Grothendieck categories (18E10) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) Categories of spans/cospans, relations, or partial maps (18B10)
Related Items (30)
Protomodular aspect of the dual of a topos ⋮ Internal categories and groupoids in congruence modular varieties ⋮ Facets of congruence distributivity in Goursat categories ⋮ \(\mathcal{M}\)-coextensive objects and the strict refinement property ⋮ Weighted commutators in semi-abelian categories ⋮ Higher central extensions and cohomology ⋮ Unnamed Item ⋮ Obstruction theory in action accessible categories ⋮ Unnamed Item ⋮ Effective descent morphisms of regular epimorphisms ⋮ Protolocalisations of homological categories ⋮ Some remarks on protolocalizations and protoadditive reflections ⋮ The matrix taxonomy of finitely complete categories ⋮ Fundamental groupoids for simplicial objects in Mal'tsev categories ⋮ Anticommutativity and the triangular lemma ⋮ Centralizer and faithful groupoid ⋮ On the direct image of intersections in exact homological categories ⋮ Congruence distributivity in Goursat and Mal'cev categories ⋮ Semi-abelian categories ⋮ On linear exactness properties ⋮ Higher commutator conditions for extensions in Mal'tsev categories ⋮ Further remarks on the ``Smith is Huq condition ⋮ Majority categories ⋮ Normal subobjects and abelian objects in protomodular categories ⋮ Central extensions and internal groupoids in Maltsev categories ⋮ Protoadditive functors, derived torsion theories and homology ⋮ On the Naturalness of Mal’tsev Categories ⋮ Commutators and central extensions in universal algebra ⋮ Intrinsic centrality and associated classifying properties ⋮ Matrix taxonomy and Bourn localization
Cites Work
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- Diagram chasing in Mal'cev categories
- The ``closed subgroup theorem for localic herds and pregroupoids
- A concrete ideal multiplication for algebraic systems and its relation to congruence distributivity
- Some remarks on Maltsev and Goursat categories
- Maltsev categories and Maltsev operations
- Internal categories and groupoids in congruence modular varieties
- Affine categories and naturally Mal'cev categories
- A categorical approach to commutator theory
- Geometrical methods in congruence modular algebras
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