Publication
A criterion for reflectiveness of normal extensions
| dc.contributor.author | Montoli, Andrea | |
| dc.contributor.author | Rodelo, Diana | |
| dc.contributor.author | Van der Linden, Tim | |
| dc.date.accessioned | 2017-04-07T15:57:17Z | |
| dc.date.available | 2017-04-07T15:57:17Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | We give a new sufficient condition for the normal extensions in an admissible Galois structure to be reflective. We then show that this condition is indeed fulfilled when X is the (protomodular) reflective subcategory of S-special objects of a Barr-exact S-protomodular category C, where S is the class of split epimorphic trivial extensions in C. Next to some concrete examples where the criterion may be applied, we also study the adjunction between a Barr-exact unital category and its abelian core, which we prove to be admissible. | |
| dc.identifier.issn | 1370-1444 | |
| dc.identifier.other | AUT: DRO01261; | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/9668 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.relation.isbasedon | WOS:000393006600003 | |
| dc.title | A criterion for reflectiveness of normal extensions | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00324%2F2013/PT | |
| oaire.citation.conferencePlace | Royal Flemish Acad Belgium Sci & Arts, Brussels, Belgium | |
| oaire.citation.endPage | 691 | |
| oaire.citation.issue | 5 | |
| oaire.citation.startPage | 667 | |
| oaire.citation.title | Bulletin of the Belgian Mathematical Society - Simon Stevin | |
| oaire.citation.volume | 23 | |
| 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 | |
| relation.isProjectOfPublication | c4111c20-3162-48de-a0d1-dfff97d3d1e3 | |
| relation.isProjectOfPublication.latestForDiscovery | c4111c20-3162-48de-a0d1-dfff97d3d1e3 |
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