Morita equivalence of many-sorted algebraic theories

Detalhes bibliográficos
Autor(a) principal: Adámek, Jirí
Data de Publicação: 2006
Outros Autores: Sobral, Manuela, Sousa, Lurdes
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/4616
https://doi.org/10.4064/cm-55-1-11-17
Resumo: Algebraic theories are called Morita equivalent provided that the corresponding varieties of algebras are equivalent. Generalizing Dukarm's result from one-sorted theories to many-sorted ones, we prove that all theories Morita equivalent to an S-sorted theory are obtained as idempotent modifications of . This is analogous to the classical result of Morita that all rings Morita equivalent to a ring R are obtained as idempotent modifications of matrix rings of R.
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spelling Morita equivalence of many-sorted algebraic theoriesAlgebraic theories are called Morita equivalent provided that the corresponding varieties of algebras are equivalent. Generalizing Dukarm's result from one-sorted theories to many-sorted ones, we prove that all theories Morita equivalent to an S-sorted theory are obtained as idempotent modifications of . This is analogous to the classical result of Morita that all rings Morita equivalent to a ring R are obtained as idempotent modifications of matrix rings of R.http://www.sciencedirect.com/science/article/B6WH2-4J90W7G-5/1/0839dedc456f778417d11b1bb6088ccb2006info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4616http://hdl.handle.net/10316/4616https://doi.org/10.4064/cm-55-1-11-17engJournal of Algebra. 297:2 (2006) 361-371Adámek, JiríSobral, ManuelaSousa, Lurdesinfo: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:RCAAP2020-11-06T17:00:30Zoai:estudogeral.uc.pt:10316/4616Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:41.738318Repositório 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 Morita equivalence of many-sorted algebraic theories
title Morita equivalence of many-sorted algebraic theories
spellingShingle Morita equivalence of many-sorted algebraic theories
Adámek, Jirí
title_short Morita equivalence of many-sorted algebraic theories
title_full Morita equivalence of many-sorted algebraic theories
title_fullStr Morita equivalence of many-sorted algebraic theories
title_full_unstemmed Morita equivalence of many-sorted algebraic theories
title_sort Morita equivalence of many-sorted algebraic theories
author Adámek, Jirí
author_facet Adámek, Jirí
Sobral, Manuela
Sousa, Lurdes
author_role author
author2 Sobral, Manuela
Sousa, Lurdes
author2_role author
author
dc.contributor.author.fl_str_mv Adámek, Jirí
Sobral, Manuela
Sousa, Lurdes
description Algebraic theories are called Morita equivalent provided that the corresponding varieties of algebras are equivalent. Generalizing Dukarm's result from one-sorted theories to many-sorted ones, we prove that all theories Morita equivalent to an S-sorted theory are obtained as idempotent modifications of . This is analogous to the classical result of Morita that all rings Morita equivalent to a ring R are obtained as idempotent modifications of matrix rings of R.
publishDate 2006
dc.date.none.fl_str_mv 2006
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/4616
http://hdl.handle.net/10316/4616
https://doi.org/10.4064/cm-55-1-11-17
url http://hdl.handle.net/10316/4616
https://doi.org/10.4064/cm-55-1-11-17
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Algebra. 297:2 (2006) 361-371
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eu_rights_str_mv openAccess
dc.format.none.fl_str_mv aplication/PDF
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