Descent for regular epimorphisms in Barr exact Goursat categories

DOI10.1007/s10485-009-9199-yzbMath1223.18007OpenAlexW1973720589MaRDI QIDQ633799

George Janelidze, Manuela Sobral

Publication date: 30 March 2011

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/11194

zbMATH Keywords

regular categoryequivalence relationeffective descent morphismGoursat categoryBarr exact category

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30)

Related Items

Higher coverings of racks and quandles. II ⋮ A new characterisation of Goursat categories ⋮ Higher commutator conditions for extensions in Mal'tsev categories

Cites Work

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• Diagram chasing in Mal'cev categories
• On categorical conditions for congruences to commute
• Some remarks on Maltsev and Goursat categories
• Facets of descent. I
• Effective descent morphisms in some quasivarieties of algebraic, relational, and more general structures
• Internal categories in Mal'cev categories
• Finite preorders and topological descent. I
• Semi-abelian categories

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