Publication
Stability properties characterising n- permutable categories
| dc.contributor.author | Jacqmin, Pierre-Alain | |
| dc.contributor.author | Rodelo, Diana | |
| dc.date.accessioned | 2019-11-20T15:07:54Z | |
| dc.date.available | 2019-11-20T15:07:54Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | The purpose of this paper is two-fold. A first and more concrete aim is to characterise n-permutable categories through certain stability properties of regular epimorphisms. These characterisations allow us to recover the ternary terms and the (n + 1)-ary terms describing n-permutable varieties of universal algebras. A second and more abstract aim is to explain two proof techniques, by using the above characterisation as an opportunity to provide explicit new examples of their use: an embedding theorem for n-permutable categories which allows us to follow the varietal proof to show that an n-permutable category has certain properties; the theory of unconditional exactness properties which allows us to remove the assumption of the existence of colimits, in particular when we use the approximate co-operations approach to show that a regular category is n-permutable. | |
| dc.description.sponsorship | FNRS [1.A741.14] | |
| dc.description.sponsorship | Centro de Matematica da Universidade de Coimbra [UID/MAT/00324/2013] | |
| dc.description.sponsorship | Portuguese Government through FCT/MCTES | |
| dc.description.sponsorship | European Regional Development Fund | |
| dc.identifier.issn | 1201-561X | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/13267 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Mount Allison Univ | |
| dc.subject | Malcev categories | |
| dc.subject | Operations | |
| dc.title | Stability properties characterising n- permutable 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 | 1587 | |
| oaire.citation.startPage | 1563 | |
| oaire.citation.title | Theory and Applications of Categories | |
| oaire.citation.volume | 32 | |
| 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 |
Files
Original bundle
1 - 1 of 1