A new characterization of Goursat categories

Bibliographic Details
Main Author: Gran, Marino
Publication Date: 2010
Other Authors: Rodelo, Diana
Format: Other
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/10316/13706
Summary: We present a new characterisation of Goursat categories in terms of special kind of pushouts, that we call Goursat pushouts. This allows one to prove that, for a regular category, the Goursat property is actually equivalent to the validity of the denormalised 3-by-3 Lemma. Goursat pushouts are also useful to clarify, from a categorical perspective, the existence of the quaternary operations characterising 3-permutable varieties
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spelling A new characterization of Goursat categoriesGoursat category3-by-3 LemmaPushoutsMal'tsev conditionWe present a new characterisation of Goursat categories in terms of special kind of pushouts, that we call Goursat pushouts. This allows one to prove that, for a regular category, the Goursat property is actually equivalent to the validity of the denormalised 3-by-3 Lemma. Goursat pushouts are also useful to clarify, from a categorical perspective, the existence of the quaternary operations characterising 3-permutable varietiesCentro de Matemática da Universidade de Coimbra2010info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/otherhttps://hdl.handle.net/10316/13706https://hdl.handle.net/10316/13706engPré-Publicações DMUC. 10-10 (2010)Gran, MarinoRodelo, Dianainfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2020-05-25T13:12:30Zoai:estudogeral.uc.pt:10316/13706Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T05:23:25.768591Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv A new characterization of Goursat categories
title A new characterization of Goursat categories
spellingShingle A new characterization of Goursat categories
Gran, Marino
Goursat category
3-by-3 Lemma
Pushouts
Mal'tsev condition
title_short A new characterization of Goursat categories
title_full A new characterization of Goursat categories
title_fullStr A new characterization of Goursat categories
title_full_unstemmed A new characterization of Goursat categories
title_sort A new characterization of Goursat categories
author Gran, Marino
author_facet Gran, Marino
Rodelo, Diana
author_role author
author2 Rodelo, Diana
author2_role author
dc.contributor.author.fl_str_mv Gran, Marino
Rodelo, Diana
dc.subject.por.fl_str_mv Goursat category
3-by-3 Lemma
Pushouts
Mal'tsev condition
topic Goursat category
3-by-3 Lemma
Pushouts
Mal'tsev condition
description We present a new characterisation of Goursat categories in terms of special kind of pushouts, that we call Goursat pushouts. This allows one to prove that, for a regular category, the Goursat property is actually equivalent to the validity of the denormalised 3-by-3 Lemma. Goursat pushouts are also useful to clarify, from a categorical perspective, the existence of the quaternary operations characterising 3-permutable varieties
publishDate 2010
dc.date.none.fl_str_mv 2010
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/other
format other
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10316/13706
https://hdl.handle.net/10316/13706
url https://hdl.handle.net/10316/13706
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Pré-Publicações DMUC. 10-10 (2010)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Centro de Matemática da Universidade de Coimbra
publisher.none.fl_str_mv Centro de Matemática da Universidade de Coimbra
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833602339549741056

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