New exactness conditions involving split cubes in protomodular categories

Detalhes bibliográficos
Autor(a) principal: Gray, J. R. A.
Data de Publicação: 2018
Outros Autores: Martins-Ferreira, Nelson
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.8/8535
Resumo: This work is based on the research supported in part by the National Research Foundation of South Africa (Grant Number 112086) and supported by the Fundação para a Ciência e a Tecnologia (FCT) and Centro2020 through the Project references: UID/Multi/04044/2013; PAMI - ROTEIRO/0328/2013 (N 022158); Next.parts (17963); and also by CDRSP and ESTG from the Polytechnic Institute of Leiria.
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spelling New exactness conditions involving split cubes in protomodular categoriesProtomodular categorySplit cubeVan Kampen TheoremNon-pointed coincidence of commutatorsNormality inside unionsPartially multiplicative graphDescentThis work is based on the research supported in part by the National Research Foundation of South Africa (Grant Number 112086) and supported by the Fundação para a Ciência e a Tecnologia (FCT) and Centro2020 through the Project references: UID/Multi/04044/2013; PAMI - ROTEIRO/0328/2013 (N 022158); Next.parts (17963); and also by CDRSP and ESTG from the Polytechnic Institute of Leiria.We introduce and compare several new exactness conditions involving what we call split cubes. These conditions are motivated by their special cases, some which become familiar, in the pointed context, once we reformulate them with split cubes replaced with split extensions.BoardIC-OnlineGray, J. R. A.Martins-Ferreira, Nelson2023-05-29T15:00:57Z20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.8/8535engGray, J. R. A., & Martins-Ferreira, N. (2018). New exactness conditions involving split cubes in protomodular categories. Theory and Applications of Categories, 33(33)1201-561Xinfo: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:RCAAP2024-01-17T15:57:33Zoai:iconline.ipleiria.pt:10400.8/8535Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:51:14.082351Repositório 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 New exactness conditions involving split cubes in protomodular categories
title New exactness conditions involving split cubes in protomodular categories
spellingShingle New exactness conditions involving split cubes in protomodular categories
Gray, J. R. A.
Protomodular category
Split cube
Van Kampen Theorem
Non-pointed coincidence of commutators
Normality inside unions
Partially multiplicative graph
Descent
title_short New exactness conditions involving split cubes in protomodular categories
title_full New exactness conditions involving split cubes in protomodular categories
title_fullStr New exactness conditions involving split cubes in protomodular categories
title_full_unstemmed New exactness conditions involving split cubes in protomodular categories
title_sort New exactness conditions involving split cubes in protomodular categories
author Gray, J. R. A.
author_facet Gray, J. R. A.
Martins-Ferreira, Nelson
author_role author
author2 Martins-Ferreira, Nelson
author2_role author
dc.contributor.none.fl_str_mv IC-Online
dc.contributor.author.fl_str_mv Gray, J. R. A.
Martins-Ferreira, Nelson
dc.subject.por.fl_str_mv Protomodular category
Split cube
Van Kampen Theorem
Non-pointed coincidence of commutators
Normality inside unions
Partially multiplicative graph
Descent
topic Protomodular category
Split cube
Van Kampen Theorem
Non-pointed coincidence of commutators
Normality inside unions
Partially multiplicative graph
Descent
description This work is based on the research supported in part by the National Research Foundation of South Africa (Grant Number 112086) and supported by the Fundação para a Ciência e a Tecnologia (FCT) and Centro2020 through the Project references: UID/Multi/04044/2013; PAMI - ROTEIRO/0328/2013 (N 022158); Next.parts (17963); and also by CDRSP and ESTG from the Polytechnic Institute of Leiria.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-01-01T00:00:00Z
2023-05-29T15:00:57Z
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/10400.8/8535
url http://hdl.handle.net/10400.8/8535
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Gray, J. R. A., & Martins-Ferreira, N. (2018). New exactness conditions involving split cubes in protomodular categories. Theory and Applications of Categories, 33(33)
1201-561X
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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