Morita equivalence of many-sorted algebraic theories
Autor(a) principal: | |
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Data de Publicação: | 2006 |
Outros Autores: | , |
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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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 |
format |
article |
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 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
aplication/PDF |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799133897139683328 |