Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/43870
Title: | The Cuboid Lemma and Mal’tsev Categories | Authors: | Gran, Marino Rodelo, Diana |
Issue Date: | 2013 | Publisher: | Springer | Project: | info:eu-repo/grantAgreement/FCT/COMPETE/132981/PT | Serial title, monograph or event: | Applied Categorical Structures | Volume: | 22 | Issue: | 5-6 | Abstract: | 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 it determines suggests to call it the Cuboid Lemma. This new characterisation of regular categories that are Mal’tsev categories (= 2-permutable) is similar to the one previously obtained for Goursat categories (= 3-permutable). We also analyse the “relative” version of the Cuboid Lemma and extend our results to that context. | URI: | https://hdl.handle.net/10316/43870 | DOI: | 10.1007/s10485-013-9352-5 10.1007/s10485-013-9352-5 |
Rights: | embargoedAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Cuboid Final (formato article).pdf | 99.57 kB | Adobe PDF | View/Open |
SCOPUSTM
Citations
4
checked on Oct 7, 2024
WEB OF SCIENCETM
Citations
10
3
checked on Oct 2, 2024
Page view(s)
371
checked on Oct 8, 2024
Download(s)
188
checked on Oct 8, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.