The Cuboid Lemma and Mal’tsev Categories
We prove that a regular category ℂ is a Mal’tsev category if and only if a strong form of the denormalised 3 × 3 Lemma holds true in ℂ. In this version of the 3 × 3 Lemma, the vertical exact forks are replaced by pullbacks of regular epimorphisms along arbitrary morphisms. The shape of the diagram i...
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| Format: | article |
| Language: | eng |
| Published: |
2013
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| Online Access: | http://hdl.handle.net/10316/43870 |
| Country: | Portugal |
| Oai: | oai:estudogeral.sib.uc.pt:10316/43870 |