Publication
Variations of the Shifting Lemma and Goursat categories
| dc.contributor.author | Gran, Marino | |
| dc.contributor.author | Rodelo, Diana | |
| dc.contributor.author | Nguefeu, Idriss Tchoffo | |
| dc.date.accessioned | 2020-07-24T10:52:48Z | |
| dc.date.available | 2020-07-24T10:52:48Z | |
| dc.date.issued | 2019-03 | |
| dc.description.abstract | We prove that Mal'tsev and Goursat categories may be characterized through variations of the Shifting Lemma, that is classically expressed in terms of three congruences R, S and T, and characterizes congruence modular varieties. We first show that a regular category C is a Mal'tsev category if and only if the Shifting Lemma holds for reflexive relations on the same object in C. Moreover, we prove that a regular category C is a Goursat category if and only if the Shifting Lemma holds for a reflexive relation S and reflexive and positive relations R and T in C. In particular this provides a new characterization of 2-permutable and 3-permutable varieties and quasi-varieties of universal algebras. | |
| dc.description.sponsorship | European Regional Development FundEuropean Union (EU) | |
| dc.description.sponsorship | Fonds de la Recherche Scientifique-FNRS Credit Bref Sejour a l'etrangerFonds de la Recherche Scientifique - FNRS [2018/V 3/5/033-IB/JN-11440] | |
| dc.identifier.doi | 10.1007/s00012-018-0575-z | |
| dc.identifier.issn | 0002-5240 | |
| dc.identifier.issn | 1420-8911 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/14408 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Springer Basel Ag | |
| dc.subject | Mal'tsev categories | |
| dc.subject | Categories | |
| dc.subject | Shifting Lemma | |
| dc.subject | Congruence modular varieties | |
| dc.subject | 3-permutable varieties | |
| dc.title | Variations of the Shifting Lemma 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.issue | 1 | |
| oaire.citation.startPage | UNSP 2 | |
| oaire.citation.title | Algebra Universalis | |
| oaire.citation.volume | 80 | |
| 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 | openAccess | |
| rcaap.type | article | |
| relation.isAuthorOfPublication | 311bbe08-1f8a-4c84-87e7-23ddd55c89a3 | |
| relation.isAuthorOfPublication.latestForDiscovery | 311bbe08-1f8a-4c84-87e7-23ddd55c89a3 | |
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