Publication
On the “Smith is Huq” Condition in S-Protomodular Categories
| dc.contributor.author | Martins-Ferreira, Nelson | |
| dc.contributor.author | Montoli, Andrea | |
| dc.date.accessioned | 2025-10-02T15:39:58Z | |
| dc.date.available | 2025-10-02T15:39:58Z | |
| dc.date.issued | 2017-02 | |
| dc.description.abstract | We study the so-called “Smith is Huq” condition in the context of S-protomodular categories: two S-equivalence relations centralise each other if and only if their associated normal subobjects commute. We prove that this condition is satisfied by every category of monoids with operations equipped with the class S of Schreier split epimorphisms. Some consequences in terms of characterisation of internal structures are explored. | eng |
| dc.description.sponsorship | This work was partially supported by the Centre for Mathematics of the University of Coimbra – UID/MAT/00324/2013, funded by the Portuguese Government through FCT/MEC and cofunded by the European Regional Development Fund through the Partnership Agreement PT2020, through the project PTDC/MAT/120222/2010 and the grant number SFRH/BPD/69661/2010, and also by ESTG and CDRSP from the Polytechnical Institute of Leiria. The second author is a Postdoctoral Researcher of the Fonds de la Recherche Scientifique-FNRS. | |
| dc.identifier.citation | Martins-Ferreira, N., Montoli, A. On the “Smith is Huq” Condition in S-Protomodular Categories. Appl Categor Struct 25, 59–75 (2017). https://doi.org/10.1007/s10485-015-9411-1 | |
| dc.identifier.doi | 10.1007/s10485-015-9411-1 | |
| dc.identifier.issn | 0927-2852 | |
| dc.identifier.issn | 1572-9095 | |
| dc.identifier.uri | http://hdl.handle.net/10400.8/14197 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Springer Science and Business Media LLC | |
| dc.relation | Center for Mathematics, University of Coimbra | |
| dc.relation | Categorical Methods in Non Abelian Algebra | |
| dc.relation | SFRH/BPD/69661/2010 | |
| dc.relation.hasversion | https://link.springer.com/article/10.1007/s10485-015-9411-1 | |
| dc.relation.ispartof | Applied Categorical Structures | |
| dc.rights.uri | N/A | |
| dc.subject | Smith-Pedicchio centralising relations | |
| dc.subject | Huq commuting morphisms | |
| dc.subject | S-protomodular categories | |
| dc.subject | Monoids with operations | |
| dc.subject | Schreier split epimorphisms | |
| dc.title | On the “Smith is Huq” Condition in S-Protomodular Categories | eng |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Center for Mathematics, University of Coimbra | |
| oaire.awardTitle | Categorical Methods in Non Abelian Algebra | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00324%2F2013/PT | |
| oaire.awardURI | http://hdl.handle.net/10400.8/13336 | |
| oaire.citation.endPage | 75 | |
| oaire.citation.issue | 1 | |
| oaire.citation.startPage | 59 | |
| oaire.citation.title | Applied Categorical Structures | |
| oaire.citation.volume | 25 | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.fundingStream | 5876-PPCDTI | |
| oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |
| person.familyName | Martins-Ferreira | |
| person.givenName | Nelson | |
| person.identifier | 485301 | |
| person.identifier.ciencia-id | B115-B65E-24AA | |
| person.identifier.orcid | 0000-0002-4199-7367 | |
| person.identifier.rid | N-1699-2013 | |
| person.identifier.scopus-author-id | 24598020700 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| relation.isAuthorOfPublication | 52406f6a-2c36-4e9a-9996-d3cc719d46bf | |
| relation.isAuthorOfPublication.latestForDiscovery | 52406f6a-2c36-4e9a-9996-d3cc719d46bf | |
| relation.isProjectOfPublication | b30d7802-d73a-400a-9dca-e837e0b3d33e | |
| relation.isProjectOfPublication | 7e052e00-1745-436a-b3ef-06d50b6eb601 | |
| relation.isProjectOfPublication.latestForDiscovery | b30d7802-d73a-400a-9dca-e837e0b3d33e |