On the categorical behaviour of preordered groups

Detalhes bibliográficos
Autor(a) principal: Clementino, Maria Manuel
Data de Publicação: 2019
Outros Autores: Martins-Ferreira, Nelson, Montoli, Andrea
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.8/8483
Resumo: The 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.
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spelling On the categorical behaviour of preordered groupsPreordered groupPositive coneProtomodular objectS-Protomodular categoryThe 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.We 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.Elsevier - ScienceDirectIC-OnlineClementino, Maria ManuelMartins-Ferreira, NelsonMontoli, Andrea2023-05-16T16:13:37Z20192019-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.8/8483engClementino, 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.2019.01.0060022-4049https://doi.org/10.1016/j.jpaa.2019.01.0061873-1376info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-17T15:57:25Zoai:iconline.ipleiria.pt:10400.8/8483Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:51:11.646249Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv On the categorical behaviour of preordered groups
title On the categorical behaviour of preordered groups
spellingShingle On the categorical behaviour of preordered groups
Clementino, Maria Manuel
Preordered group
Positive cone
Protomodular object
S-Protomodular category
title_short On the categorical behaviour of preordered groups
title_full On the categorical behaviour of preordered groups
title_fullStr On the categorical behaviour of preordered groups
title_full_unstemmed On the categorical behaviour of preordered groups
title_sort On the categorical behaviour of preordered groups
author Clementino, Maria Manuel
author_facet Clementino, Maria Manuel
Martins-Ferreira, Nelson
Montoli, Andrea
author_role author
author2 Martins-Ferreira, Nelson
Montoli, Andrea
author2_role author
author
dc.contributor.none.fl_str_mv IC-Online
dc.contributor.author.fl_str_mv Clementino, Maria Manuel
Martins-Ferreira, Nelson
Montoli, Andrea
dc.subject.por.fl_str_mv Preordered group
Positive cone
Protomodular object
S-Protomodular category
topic Preordered group
Positive cone
Protomodular object
S-Protomodular category
description The 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.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-01-01T00:00:00Z
2023-05-16T16:13:37Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.8/8483
url http://hdl.handle.net/10400.8/8483
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Clementino, 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.2019.01.006
0022-4049
https://doi.org/10.1016/j.jpaa.2019.01.006
1873-1376
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Elsevier - ScienceDirect
publisher.none.fl_str_mv Elsevier - ScienceDirect
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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