Normal Sections and Direct Product Decompositions
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Publication:3158344
DOI10.1081/AGB-200027750zbMath1062.18003MaRDI QIDQ3158344
Publication date: 24 January 2005
Published in: Communications in Algebra (Search for Journal in Brave)
modular varietiesprotomodular categoriesdirect product decompositionsMal'tsev categoriesnormal subobjects
Congruence modularity, congruence distributivity (08B10) Abelian categories, Grothendieck categories (18E10) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Theories (e.g., algebraic theories), structure, and semantics (18C10)
Related Items (18)
Beck-Chevalley condition and Goursat categories ⋮ Admissible Galois structures and coverings in regular Mal'cev categories ⋮ On congruence modular varieties and Gumm categories ⋮ Baer sums in homological categories ⋮ Unnamed Item ⋮ Facets of congruence distributivity in Goursat categories ⋮ Two characterisations of groups amongst monoids ⋮ Higher central extensions and cohomology ⋮ Comprehensive factorization and \(I\)-central extensions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Variations of the shifting lemma and Goursat categories ⋮ On distributive lattices and weakly Mal'tsev categories ⋮ On stability of exactness properties under the pro-completion ⋮ Split epimorphisms as a productive tool in universal algebra ⋮ A note on admissibility of closed Galois structures ⋮ On the Naturalness of Mal’tsev Categories ⋮ On the cocartesian image of preorders and equivalence relations in regular categories
Cites Work
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- Diagram chasing in Mal'cev categories
- Mal'cev varieties
- Some remarks on Maltsev and Goursat categories
- Normal subobjects and abelian objects in protomodular categories
- Centrality and connectors in Maltsev categories.
- Intrinsic centrality and associated classifying properties
- Semi-abelian categories
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