A note on double central extensions in exact Mal'tsev categories

Bibliographic Details
Main Author: Everaert, Tomas
Publication Date: 2009
Other Authors: Linden, Tim Van der
Format: Other
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/10316/11183
Summary: The characterisation of double central extensions in terms of commutators due to Janelidze (in the case of groups), Gran and Rossi (in the case of Mal'tsev varieties) and Rodelo and Van der Linden (in the case of semi-abelian categories) is shown to be still valid in the context of exact Mal'tsev categories.
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spelling A note on double central extensions in exact Mal'tsev categoriesCategorical Galois theoryBarr exact Mal'tsev categoryHigher central extensionCommutatorThe characterisation of double central extensions in terms of commutators due to Janelidze (in the case of groups), Gran and Rossi (in the case of Mal'tsev varieties) and Rodelo and Van der Linden (in the case of semi-abelian categories) is shown to be still valid in the context of exact Mal'tsev categories.CMUC/FCT; FWOCentro de Matemática da Universidade de Coimbra2009info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/otherhttps://hdl.handle.net/10316/11183https://hdl.handle.net/10316/11183engPré-Publicações DMUC. 09-06 (2009)Everaert, TomasLinden, Tim Van derinfo: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:RCAAP2020-05-25T13:11:25Zoai:estudogeral.uc.pt:10316/11183Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T05:23:18.315993Repositórios 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 note on double central extensions in exact Mal'tsev categories
title A note on double central extensions in exact Mal'tsev categories
spellingShingle A note on double central extensions in exact Mal'tsev categories
Everaert, Tomas
Categorical Galois theory
Barr exact Mal'tsev category
Higher central extension
Commutator
title_short A note on double central extensions in exact Mal'tsev categories
title_full A note on double central extensions in exact Mal'tsev categories
title_fullStr A note on double central extensions in exact Mal'tsev categories
title_full_unstemmed A note on double central extensions in exact Mal'tsev categories
title_sort A note on double central extensions in exact Mal'tsev categories
author Everaert, Tomas
author_facet Everaert, Tomas
Linden, Tim Van der
author_role author
author2 Linden, Tim Van der
author2_role author
dc.contributor.author.fl_str_mv Everaert, Tomas
Linden, Tim Van der
dc.subject.por.fl_str_mv Categorical Galois theory
Barr exact Mal'tsev category
Higher central extension
Commutator
topic Categorical Galois theory
Barr exact Mal'tsev category
Higher central extension
Commutator
description The characterisation of double central extensions in terms of commutators due to Janelidze (in the case of groups), Gran and Rossi (in the case of Mal'tsev varieties) and Rodelo and Van der Linden (in the case of semi-abelian categories) is shown to be still valid in the context of exact Mal'tsev categories.
publishDate 2009
dc.date.none.fl_str_mv 2009
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/10316/11183
https://hdl.handle.net/10316/11183
url https://hdl.handle.net/10316/11183
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Pré-Publicações DMUC. 09-06 (2009)
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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
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