An Introduction to Regular Categories
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Publication:5861650
DOI10.1007/978-3-030-84319-9_4zbMath1480.18007arXiv2004.08964OpenAlexW3017365026MaRDI QIDQ5861650
Publication date: 1 March 2022
Published in: New Perspectives in Algebra, Topology and Categories (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.08964
Equational logic, Mal'tsev conditions (08B05) Equational categories (18C05) Regular categories, Barr-exact categories (18E08) Protomodular categories, semi-abelian categories, Mal'tsev categories (18E13)
Related Items (5)
Relative regular objects in categories. ⋮ A new characterisation of Goursat categories ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An Invitation to Topological Semi-abelian Algebras
Cites Work
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- A new characterisation of Goursat categories
- Topological semi-abelian algebras
- Diagram chasing in Mal'cev categories
- Ideals in universal algebras
- Mal'cev varieties
- Some remarks on Maltsev and Goursat categories
- Variations of the shifting lemma and Goursat categories
- \(3 \times 3\) lemma for star-exact sequences
- The 3-by-3 lemma for regular Goursat categories
- Central extensions and internal groupoids in Maltsev categories
- The denormalized \(3{\times}3\) lemma
- A semi-abelian extension of a theorem by Takeuchi
- The cuboid lemma and Mal'tsev categories
- On \(n\)-permutable congruences
- Exact categories and categories of sheaves
- Beck-Chevalley condition and Goursat categories
- On the Naturalness of Mal’tsev Categories
- Separation in Point-Free Topology
- Relations binaires, fermetures, correspondances de Galois
- Exact Categories and Duality
- An Invitation to Topological Semi-abelian Algebras
- \(3\times 3\) lemma and protomodularity
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