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On the categorical behaviour of preordered groups

2019Journal article Open access
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dc.contributor.authorClementino, Maria Manuel
dc.contributor.authorMartins-Ferreira, Nelson
dc.contributor.authorMontoli, Andrea
dc.date.accessioned2023-05-16T16:13:37Z
dc.date.available2023-05-16T16:13:37Z
dc.date.issued2019
dc.descriptionThe authors are grateful to George Janelidze for fruitful discussions on the topic of the present paper, and to the referee for several suggestions that helped to improve the final version of the paper. The first author was partially supported by Centro de Matemática da Universidade de Coimbra – UID/MAT/00324/2013, funded by the Portuguese Government through FCT/MCTES and co-funded by the European Regional Development Fund through the Partnership Agreement PT2020, and by the FCT Sabbatical Grant SFRH/BSAB/127925/2016. The second author was partially supported by the Fundação para a Ciência e a Tecnologia (FCT) and Centro2020 through the Project references: UID/Multi/04044/2013 and PAMI – ROTEIRO/0328/2013 (N.022158). The third author was partially supported by the Programma per Giovani Ricercatori “Rita Levi-Montalcini”, funded by the Italian government through MIUR.pt_PT
dc.description.abstractWe study the categorical properties of preordered groups. We first give a description of limits and colimits in this category, and study some classical exactness properties. Then we point out a strong analogy between the algebraic behaviour of preordered groups and monoids, and we apply two different recent approaches to relative categorical algebra to obtain some homological properties of preordered groups.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationClementino, Maria & Martins-Ferreira, Nelson & Montoli, Andrea. (2019). On the categorical behaviour of preordered groups. Journal of Pure and Applied Algebra. 223:10. https://doi.org/10.1016/j.jpaa.2019.01.006pt_PT
dc.identifier.doihttps://doi.org/10.1016/j.jpaa.2019.01.006pt_PT
dc.identifier.eissn1873-1376
dc.identifier.issn0022-4049
dc.identifier.urihttp://hdl.handle.net/10400.8/8483
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevier - ScienceDirectpt_PT
dc.relationCenter for Mathematics, University of Coimbra
dc.relationTopologia Monoidal e álgebras Topológicas
dc.relationCentre for Rapid and Sustainable Product Development
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0022404919300143?via%3Dihubpt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectPreordered grouppt_PT
dc.subjectPositive conept_PT
dc.subjectProtomodular objectpt_PT
dc.subjectS-Protomodular categorypt_PT
dc.titleOn the categorical behaviour of preordered groupspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter for Mathematics, University of Coimbra
oaire.awardTitleTopologia Monoidal e álgebras Topológicas
oaire.awardTitleCentre for Rapid and Sustainable Product Development
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00324%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT//SFRH%2FBSAB%2F127925%2F2016/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMulti%2F04044%2F2013/PT
oaire.citation.endPage4245pt_PT
oaire.citation.issue10pt_PT
oaire.citation.startPage4226pt_PT
oaire.citation.titleJournal of Pure and Applied Algebrapt_PT
oaire.citation.volume223pt_PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
person.familyNameMartins-Ferreira
person.givenNameNelson
person.identifier485301
person.identifier.ciencia-idB115-B65E-24AA
person.identifier.orcid0000-0002-4199-7367
person.identifier.ridN-1699-2013
person.identifier.scopus-author-id24598020700
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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