Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/43870
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dc.contributor.authorGran, Marino-
dc.contributor.authorRodelo, Diana-
dc.date.accessioned2017-10-12T10:37:18Z-
dc.date.issued2013-
dc.identifier.urihttp://hdl.handle.net/10316/43870-
dc.description.abstractWe 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.por
dc.language.isoengpor
dc.publisherSpringerpor
dc.relationinfo:eu-repo/grantAgreement/FCT/COMPETE/132981/PTpor
dc.rightsembargoedAccess-
dc.titleThe Cuboid Lemma and Mal’tsev Categoriespor
dc.typearticle-
degois.publication.firstPage805por
degois.publication.lastPage816por
degois.publication.issue5-6por
degois.publication.titleApplied Categorical Structurespor
dc.relation.publisherversionhttps://link.springer.com/article/10.1007%2Fs10485-013-9352-5por
dc.peerreviewedyespor
dc.identifier.doi10.1007/s10485-013-9352-5por
dc.identifier.doi10.1007/s10485-013-9352-5-
degois.publication.volume22por
dc.date.embargo2018-10-12T10:37:18Z-
item.languageiso639-1en-
item.fulltextCom Texto completo-
item.grantfulltextopen-
crisitem.author.deptFaculty of Sciences and Technology-
crisitem.author.parentdeptUniversity of Coimbra-
crisitem.author.researchunitCMUC - Centre for Mathematics of the University of Coimbra-
crisitem.author.orcid0000-0002-9859-5238-
crisitem.author.orcid0000-0002-4816-3234-
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais
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