V*-algebras, independence algebras and logic

Detalhes bibliográficos
Autor(a) principal: Araújo, João
Data de Publicação: 2011
Outros Autores: Edmundo, Mário Jorge, Givant, S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/2905
Resumo: Independence algebras were introduced in the early 1990s by specialists in semigroup theory, as a tool to explain similarities between the transformation monoid on a set and the endomorphism monoid of a vector space. It turned out that these algebras had already been defined and studied in the 1960s, under the name of v*-algebras, by specialists in universal algebra (and statistics). Our goal is to complete this picture by discussing how, during the middle period, independence algebras began to play a very important role in logic.
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spelling V*-algebras, independence algebras and logicIndependence algebrasStrongly minimal structuresIndependence algebras were introduced in the early 1990s by specialists in semigroup theory, as a tool to explain similarities between the transformation monoid on a set and the endomorphism monoid of a vector space. It turned out that these algebras had already been defined and studied in the 1960s, under the name of v*-algebras, by specialists in universal algebra (and statistics). Our goal is to complete this picture by discussing how, during the middle period, independence algebras began to play a very important role in logic.World Scientific Publishing CompanyRepositório AbertoAraújo, JoãoEdmundo, Mário JorgeGivant, S.2014-01-26T10:55:44Z2011-112011-11-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/2905engAraújo, João, Edmundo, Mário Jorge; Givant, S. - V*-algebras, independence algebras and logic. "International Journal of Algebra and Computation" [Em linha]. ISSN 0218-1967. Vol. 21, nº 7 (2011), p. 1-180218-1967info: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:RCAAP2023-11-16T15:16:44Zoai:repositorioaberto.uab.pt:10400.2/2905Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:44:09.678875Repositório 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 V*-algebras, independence algebras and logic
title V*-algebras, independence algebras and logic
spellingShingle V*-algebras, independence algebras and logic
Araújo, João
Independence algebras
Strongly minimal structures
title_short V*-algebras, independence algebras and logic
title_full V*-algebras, independence algebras and logic
title_fullStr V*-algebras, independence algebras and logic
title_full_unstemmed V*-algebras, independence algebras and logic
title_sort V*-algebras, independence algebras and logic
author Araújo, João
author_facet Araújo, João
Edmundo, Mário Jorge
Givant, S.
author_role author
author2 Edmundo, Mário Jorge
Givant, S.
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Araújo, João
Edmundo, Mário Jorge
Givant, S.
dc.subject.por.fl_str_mv Independence algebras
Strongly minimal structures
topic Independence algebras
Strongly minimal structures
description Independence algebras were introduced in the early 1990s by specialists in semigroup theory, as a tool to explain similarities between the transformation monoid on a set and the endomorphism monoid of a vector space. It turned out that these algebras had already been defined and studied in the 1960s, under the name of v*-algebras, by specialists in universal algebra (and statistics). Our goal is to complete this picture by discussing how, during the middle period, independence algebras began to play a very important role in logic.
publishDate 2011
dc.date.none.fl_str_mv 2011-11
2011-11-01T00:00:00Z
2014-01-26T10:55:44Z
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/10400.2/2905
url http://hdl.handle.net/10400.2/2905
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Araújo, João, Edmundo, Mário Jorge; Givant, S. - V*-algebras, independence algebras and logic. "International Journal of Algebra and Computation" [Em linha]. ISSN 0218-1967. Vol. 21, nº 7 (2011), p. 1-18
0218-1967
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 World Scientific Publishing Company
publisher.none.fl_str_mv World Scientific Publishing Company
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
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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