Intrinsic Schreier Split Extensions
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10316/89455 https://doi.org/10.1007/s10485-019-09588-4 |
Resumo: | In the context of regular unital categories we introduce an intrinsic version of the notion of a Schreier split epimorphism, originally considered for monoids. We show that such split epimorphisms satisfy the same homological properties as Schreier split epimorphisms of monoids do. This gives rise to new examples of S-protomodular categories, and allows us to better understand the homological behaviour of monoids from a categorical perspective. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Intrinsic Schreier Split ExtensionsFibration of points; Jointly extremal-epimorphic pair; Regular category; Unital category; Protomodular category; Monoid; Jónsson–Tarski varietyIn the context of regular unital categories we introduce an intrinsic version of the notion of a Schreier split epimorphism, originally considered for monoids. We show that such split epimorphisms satisfy the same homological properties as Schreier split epimorphisms of monoids do. This gives rise to new examples of S-protomodular categories, and allows us to better understand the homological behaviour of monoids from a categorical perspective.Springer Verlag2020info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/89455http://hdl.handle.net/10316/89455https://doi.org/10.1007/s10485-019-09588-4enghttps://link.springer.com/article/10.1007%2Fs10485-019-09588-4Montoli, AndreaRodelo, DianaVan der Linden, Timinfo: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:RCAAP2022-05-25T02:47:58Zoai:estudogeral.uc.pt:10316/89455Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:09:45.830112Repositório 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 |
Intrinsic Schreier Split Extensions |
title |
Intrinsic Schreier Split Extensions |
spellingShingle |
Intrinsic Schreier Split Extensions Montoli, Andrea Fibration of points; Jointly extremal-epimorphic pair; Regular category; Unital category; Protomodular category; Monoid; Jónsson–Tarski variety |
title_short |
Intrinsic Schreier Split Extensions |
title_full |
Intrinsic Schreier Split Extensions |
title_fullStr |
Intrinsic Schreier Split Extensions |
title_full_unstemmed |
Intrinsic Schreier Split Extensions |
title_sort |
Intrinsic Schreier Split Extensions |
author |
Montoli, Andrea |
author_facet |
Montoli, Andrea Rodelo, Diana Van der Linden, Tim |
author_role |
author |
author2 |
Rodelo, Diana Van der Linden, Tim |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Montoli, Andrea Rodelo, Diana Van der Linden, Tim |
dc.subject.por.fl_str_mv |
Fibration of points; Jointly extremal-epimorphic pair; Regular category; Unital category; Protomodular category; Monoid; Jónsson–Tarski variety |
topic |
Fibration of points; Jointly extremal-epimorphic pair; Regular category; Unital category; Protomodular category; Monoid; Jónsson–Tarski variety |
description |
In the context of regular unital categories we introduce an intrinsic version of the notion of a Schreier split epimorphism, originally considered for monoids. We show that such split epimorphisms satisfy the same homological properties as Schreier split epimorphisms of monoids do. This gives rise to new examples of S-protomodular categories, and allows us to better understand the homological behaviour of monoids from a categorical perspective. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020 |
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/10316/89455 http://hdl.handle.net/10316/89455 https://doi.org/10.1007/s10485-019-09588-4 |
url |
http://hdl.handle.net/10316/89455 https://doi.org/10.1007/s10485-019-09588-4 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
https://link.springer.com/article/10.1007%2Fs10485-019-09588-4 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Springer Verlag |
publisher.none.fl_str_mv |
Springer Verlag |
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 |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799133992895643648 |