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On the Structure of an Internal Groupoid

2023-09-18Artigo científico Acesso aberto
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datacite.subject.fosCiências Naturais::Matemáticas
datacite.subject.fosCiências Naturais::Ciências da Computação e da Informação
datacite.subject.sdg03:Saúde de Qualidade
datacite.subject.sdg09:Indústria, Inovação e Infraestruturas
datacite.subject.sdg12:Produção e Consumo Sustentáveis
dc.contributor.authorMartins-Ferreira, Nelson
dc.date.accessioned2026-10-21T14:08:47Z
dc.date.available2026-10-21T14:08:47Z
dc.date.issued2023-09-18
dc.description.abstractThe category of internal groupoids (in an arbitrary category) is shown to be equivalent to the full subcategory of so called involutive-2-links that are unital and associative.eng
dc.description.sponsorshipOpen access funding provided by FCT|FCCN (b-on). Funded by FCT/MCTES (PIDDAC): UIDP/04044/2020; Generative Thermodynamic; Associate Laboratory ARISE LA/P/0112/2020; MATIS (CENTRO-01-(0145, 0247)-FEDER-(000014, 069665, 039969, 003362)); POCI-01-0247-FEDER-(069603, 039958, 039863, 024533); by CDRSP and ESTG from the Polytechnic of Leiria. Special thanks are due to IPLeiria’s Run-EU program and in particular to the kind and inspiring hospitality offered by FH Vorarlberg – University of Applied Sciences, at Dornbirn, Austria.
dc.identifier.citationMartins-Ferreira, N. On the Structure of an Internal Groupoid. Appl Categor Struct 31, 39 (2023). https://doi.org/10.1007/s10485-023-09740-1.
dc.identifier.doi10.1007/s10485-023-09740-1
dc.identifier.eissn1572-9095
dc.identifier.issn0927-2852
dc.identifier.urihttp://hdl.handle.net/10400.8/17103
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer Science and Business Media LLC
dc.relationCentre for Rapid and Sustainable Product Development
dc.relationAdvanced Production and Intelligent Systems
dc.relation.hasversionhttps://link.springer.com/article/10.1007/s10485-023-09740-1
dc.relation.ispartofApplied Categorical Structures
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectInternal groupoid
dc.subjectReflexive graph
dc.subjectMultiplicative structure
dc.subjectInvolutive-2-link
dc.titleOn the Structure of an Internal Groupoideng
dc.typejournal article
dspace.entity.typePublication
oaire.awardNumberUIDP/04044/2020
oaire.awardNumberLA/P/0112/2020
oaire.awardTitleCentre for Rapid and Sustainable Product Development
oaire.awardTitleAdvanced Production and Intelligent Systems
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F04044%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/LA%2FP%2F0112%2F2020/PT
oaire.citation.endPage4
oaire.citation.issue39
oaire.citation.startPage1
oaire.citation.titleApplied Categorical Structures
oaire.citation.volume31
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
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.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
relation.isAuthorOfPublication52406f6a-2c36-4e9a-9996-d3cc719d46bf
relation.isAuthorOfPublication.latestForDiscovery52406f6a-2c36-4e9a-9996-d3cc719d46bf
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The category of internal groupoids (in an arbitrary category) is shown to be equivalent to the full subcategory of so called involutive-2-links that are unital and associative.
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