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/10316/89416
https://doi.org/10.1016/j.jpaa.2019.01.006
Resumo: 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.
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spelling On the categorical behaviour of preordered groupsPreordered group; Positive cone; Protomodular object; S-Protomodular categoryWe 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.Elsevier2019-10info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/89416http://hdl.handle.net/10316/89416https://doi.org/10.1016/j.jpaa.2019.01.006enghttps://www.sciencedirect.com/science/article/pii/S0022404919300143Clementino, Maria ManuelMartins-Ferreira, NelsonMontoli, Andreainfo: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:RCAAP2022-05-25T02:47:59Zoai:estudogeral.uc.pt:10316/89416Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:09:44.478428Repositório 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.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 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.
publishDate 2019
dc.date.none.fl_str_mv 2019-10
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/10316/89416
http://hdl.handle.net/10316/89416
https://doi.org/10.1016/j.jpaa.2019.01.006
url http://hdl.handle.net/10316/89416
https://doi.org/10.1016/j.jpaa.2019.01.006
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://www.sciencedirect.com/science/article/pii/S0022404919300143
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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