Publication
Beck-Chevalley condition and Goursat categories
| dc.contributor.author | Gran, Marino | |
| dc.contributor.author | Rodelo, Diana | |
| dc.date.accessioned | 2019-11-20T15:07:20Z | |
| dc.date.available | 2019-11-20T15:07:20Z | |
| dc.date.issued | 2017-10 | |
| dc.description.abstract | We characterise regular Goursat categories through a specific stability property of regular epimorphisms with respect to pullbacks. Under the assumption of the existence of some pushouts this property can be also expressed as a restricted Beck Chevalley condition, with respect to the fibration of points, for a special class of commutative squares. In the case of varieties of universal algebras these results give, in particular, a structural explanation of the existence of the ternary operations characterising 3-permutable varieties of universal algebras. | |
| dc.description.sponsorship | European Regional Development Fund | |
| dc.identifier.doi | 10.1016/j.jpaa.2016.12.031 | |
| dc.identifier.issn | 0022-4049 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/12989 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Elsevier | |
| dc.subject | Malcev categories | |
| dc.subject | Goursat categories | |
| dc.subject | 3-permutable varieties | |
| dc.subject | Shifting Lemma | |
| dc.subject | Beck-Chevalley condition | |
| dc.subject | Reflective subcategories | |
| dc.subject | Galois groupoid | |
| dc.title | Beck-Chevalley condition and Goursat categories | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00324%2F2013/PT | |
| oaire.citation.endPage | 2457 | |
| oaire.citation.issue | 10 | |
| oaire.citation.startPage | 2445 | |
| oaire.citation.title | Journal of Pure and Applied Algebra | |
| oaire.citation.volume | 221 | |
| oaire.fundingStream | 5876 | |
| person.familyName | Rodelo | |
| person.givenName | Diana | |
| person.identifier.ciencia-id | 6C16-FCF9-64A0 | |
| person.identifier.orcid | 0000-0002-4816-3234 | |
| person.identifier.rid | AFH-8267-2022 | |
| person.identifier.scopus-author-id | 8216708900 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | restrictedAccess | |
| rcaap.type | article | |
| relation.isAuthorOfPublication | 311bbe08-1f8a-4c84-87e7-23ddd55c89a3 | |
| relation.isAuthorOfPublication.latestForDiscovery | 311bbe08-1f8a-4c84-87e7-23ddd55c89a3 | |
| relation.isProjectOfPublication | c4111c20-3162-48de-a0d1-dfff97d3d1e3 | |
| relation.isProjectOfPublication.latestForDiscovery | c4111c20-3162-48de-a0d1-dfff97d3d1e3 |
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