Split extensions and semidirect products of unitary magmas

Detalhes bibliográficos
Autor(a) principal: Gran, Marino
Data de Publicação: 2019
Outros Autores: Janelidze, George, Sobral, Manuela
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/89459
https://doi.org/10.14712/1213-7243.2020.001
Resumo: We develop a theory of split extensions of unitary magmas, which includes defining such extensions and describing them via suitably defined semidirect product, yielding an equivalence between the categories of split extensions and of (suitably defined) actions of unitary magmas on unitary magmas. The class of split extensions is pullback stable but not closed under composition. We introduce two subclasses of it that have both of these properties.
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spelling Split extensions and semidirect products of unitary magmasUnitary magma; Split extension; firm split extension; Semidirect productWe develop a theory of split extensions of unitary magmas, which includes defining such extensions and describing them via suitably defined semidirect product, yielding an equivalence between the categories of split extensions and of (suitably defined) actions of unitary magmas on unitary magmas. The class of split extensions is pullback stable but not closed under composition. We introduce two subclasses of it that have both of these properties.Mathematical Institute of Charles University2019info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/89459http://hdl.handle.net/10316/89459https://doi.org/10.14712/1213-7243.2020.001enghttp://eudml.org/doc/295072Gran, MarinoJanelidze, GeorgeSobral, Manuelainfo: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:RCAAP2022-05-25T06:21:24Zoai:estudogeral.uc.pt:10316/89459Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:09:45.993059Repositório 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 Split extensions and semidirect products of unitary magmas
title Split extensions and semidirect products of unitary magmas
spellingShingle Split extensions and semidirect products of unitary magmas
Gran, Marino
Unitary magma; Split extension; firm split extension; Semidirect product
title_short Split extensions and semidirect products of unitary magmas
title_full Split extensions and semidirect products of unitary magmas
title_fullStr Split extensions and semidirect products of unitary magmas
title_full_unstemmed Split extensions and semidirect products of unitary magmas
title_sort Split extensions and semidirect products of unitary magmas
author Gran, Marino
author_facet Gran, Marino
Janelidze, George
Sobral, Manuela
author_role author
author2 Janelidze, George
Sobral, Manuela
author2_role author
author
dc.contributor.author.fl_str_mv Gran, Marino
Janelidze, George
Sobral, Manuela
dc.subject.por.fl_str_mv Unitary magma; Split extension; firm split extension; Semidirect product
topic Unitary magma; Split extension; firm split extension; Semidirect product
description We develop a theory of split extensions of unitary magmas, which includes defining such extensions and describing them via suitably defined semidirect product, yielding an equivalence between the categories of split extensions and of (suitably defined) actions of unitary magmas on unitary magmas. The class of split extensions is pullback stable but not closed under composition. We introduce two subclasses of it that have both of these properties.
publishDate 2019
dc.date.none.fl_str_mv 2019
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/10316/89459
http://hdl.handle.net/10316/89459
https://doi.org/10.14712/1213-7243.2020.001
url http://hdl.handle.net/10316/89459
https://doi.org/10.14712/1213-7243.2020.001
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://eudml.org/doc/295072
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Mathematical Institute of Charles University
publisher.none.fl_str_mv Mathematical Institute of Charles University
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
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