Publication
Further remarks on the "Smith is Huq" condition
| datacite.subject.fos | Engenharia e Tecnologia | |
| datacite.subject.sdg | 09:Indústria, Inovação e Infraestruturas | |
| dc.contributor.author | Martins-Ferreira, Nelson | |
| dc.contributor.author | Van der Linden, Tim | |
| dc.date.accessioned | 2025-06-18T15:24:57Z | |
| dc.date.available | 2025-06-18T15:24:57Z | |
| dc.date.issued | 2015-08 | |
| dc.description.abstract | We compare the Smith is Huq condition (SH) with three commutator conditions in semi-abelian categories: first an apparently weaker condition which arose in joint work with Bourn and turns out to be equivalent with (SH), then an apparently equivalent condition which takes commutation of non-normal subobjects into account and turns out to be stronger than (SH). This leads to the even stronger condition that weighted commutators in the sense of Gran, Janelidze and Ursini are independent of the chosen weight, which is known to be false for groups but turns out to be true in any two-nilpotent semi-abelian category. | eng |
| dc.description.sponsorship | The first author was supported by IPLeiria/ESTG-CDRSP and Fundac¸ao para a Ciência e a Tecnologia (grants SFRH/BPD/4321/2008, PTDC/MAT/120222/2010 and PTDC/EME-CRO/120585/2010). The second author is a Research Associate of the Fonds de la Recherche Scientifique–FNRS. His research was supported by Centro de Matematica da Universidade de Coimbra and by Fundação para a Ciência e a Tecnologia (grants SFRH/BPD/38797/2007 and PTDC/MAT/120222/2010). He wishes to thank CMUC and IPLeiria for their kind hospitality during his stays in Coimbra and in Leiria. | |
| dc.identifier | 10.1007/s10485-014-9368-5 | |
| dc.identifier.citation | Martins-Ferreira, N., Van der Linden, T. Further Remarks on the “Smith is Huq” Condition. Appl Categor Struct 23, 527–541 (2015). https://doi.org/10.1007/s10485-014-9368-5 | |
| dc.identifier.doi | 10.1007/s10485-014-9368-5 | |
| dc.identifier.issn | 09272852 | |
| dc.identifier.other | 1401.5604v1 | |
| dc.identifier.uri | http://hdl.handle.net/10400.8/13339 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Springer Nature | |
| dc.relation | BioFab Toolbox | |
| dc.relation | COHOMOLOGY AND HIGHER CENTRAL EXTENSIONS | |
| dc.relation | Categorical Methods in Non Abelian Algebra | |
| dc.relation.hasversion | https://link.springer.com/article/10.1007/s10485-014-9368-5 | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Appl. Categ. Structures 23 (2015) 527--541 | |
| dc.subject | Arithmetical category | |
| dc.subject | Basic fibration | |
| dc.subject | Fibration of points | |
| dc.subject | Higgins commutator | |
| dc.subject | Huq commutator | |
| dc.subject | Semi-abelian category | |
| dc.subject | Smith commutator | |
| dc.subject | Weighted commutator | |
| dc.title | Further remarks on the "Smith is Huq" condition | eng |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | BioFab Toolbox | |
| oaire.awardTitle | COHOMOLOGY AND HIGHER CENTRAL EXTENSIONS | |
| oaire.awardTitle | Categorical Methods in Non Abelian Algebra | |
| oaire.awardURI | http://hdl.handle.net/10400.8/13337 | |
| oaire.awardURI | http://hdl.handle.net/10400.8/13338 | |
| oaire.awardURI | http://hdl.handle.net/10400.8/13336 | |
| oaire.citation.endPage | 541 | |
| oaire.citation.issue | 4 | |
| oaire.citation.startPage | 527 | |
| oaire.citation.title | Applied Categorical Structures | |
| oaire.citation.volume | 23 | |
| oaire.fundingStream | 5876-PPCDTI | |
| oaire.fundingStream | FARH | |
| 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 | |
| relation.isAuthorOfPublication | 52406f6a-2c36-4e9a-9996-d3cc719d46bf | |
| relation.isAuthorOfPublication.latestForDiscovery | 52406f6a-2c36-4e9a-9996-d3cc719d46bf | |
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