Product preservation and stable units for reflections into idempotent subvarieties

Detalhes bibliográficos
Autor(a) principal: Xarez, João J.
Data de Publicação: 2019
Outros Autores: Xarez, Isabel A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/25995
Resumo: We give a necessary and sufficient condition for the preservation of finite products by a reflection of a variety of universal algebras into an idempotent subvariety. It is also shown that simple and semi-left-exact reflections into subvarieties of universal algebras are the same. It then follows that a reflection of a variety of universal algebras into an idempotent subvariety has stable units if and only if it is simple and the above-mentioned condition holds.
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spelling Product preservation and stable units for reflections into idempotent subvarietiesSemi-left-exactnessStable unitsSimple reflectionPreservation of finite productsVarieties of universal algebrasIdempotentWe give a necessary and sufficient condition for the preservation of finite products by a reflection of a variety of universal algebras into an idempotent subvariety. It is also shown that simple and semi-left-exact reflections into subvarieties of universal algebras are the same. It then follows that a reflection of a variety of universal algebras into an idempotent subvariety has stable units if and only if it is simple and the above-mentioned condition holds.Shahid Beheshti University2019-05-09T11:29:19Z2020-01-01T00:00:00Z2020info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/25995eng2345-5853Xarez, João J.Xarez, Isabel A.info: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:RCAAP2024-02-22T11:50:21Zoai:ria.ua.pt:10773/25995Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:59:06.408346Repositório 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 Product preservation and stable units for reflections into idempotent subvarieties
title Product preservation and stable units for reflections into idempotent subvarieties
spellingShingle Product preservation and stable units for reflections into idempotent subvarieties
Xarez, João J.
Semi-left-exactness
Stable units
Simple reflection
Preservation of finite products
Varieties of universal algebras
Idempotent
title_short Product preservation and stable units for reflections into idempotent subvarieties
title_full Product preservation and stable units for reflections into idempotent subvarieties
title_fullStr Product preservation and stable units for reflections into idempotent subvarieties
title_full_unstemmed Product preservation and stable units for reflections into idempotent subvarieties
title_sort Product preservation and stable units for reflections into idempotent subvarieties
author Xarez, João J.
author_facet Xarez, João J.
Xarez, Isabel A.
author_role author
author2 Xarez, Isabel A.
author2_role author
dc.contributor.author.fl_str_mv Xarez, João J.
Xarez, Isabel A.
dc.subject.por.fl_str_mv Semi-left-exactness
Stable units
Simple reflection
Preservation of finite products
Varieties of universal algebras
Idempotent
topic Semi-left-exactness
Stable units
Simple reflection
Preservation of finite products
Varieties of universal algebras
Idempotent
description We give a necessary and sufficient condition for the preservation of finite products by a reflection of a variety of universal algebras into an idempotent subvariety. It is also shown that simple and semi-left-exact reflections into subvarieties of universal algebras are the same. It then follows that a reflection of a variety of universal algebras into an idempotent subvariety has stable units if and only if it is simple and the above-mentioned condition holds.
publishDate 2019
dc.date.none.fl_str_mv 2019-05-09T11:29:19Z
2020-01-01T00:00:00Z
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/10773/25995
url http://hdl.handle.net/10773/25995
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2345-5853
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Shahid Beheshti University
publisher.none.fl_str_mv Shahid Beheshti 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
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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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
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