Braided module and comodule algebras, Galois extensions and elements of trace 1

Autores
Da Rocha, M.; Guccione, J.A.; Guccione, J.J.
Año de publicación
2007
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let k be a field and let H be a rigid braided Hopf k-algebra. In this paper we continue the study of the theory of braided Hopf crossed products began in [J.A. Guccione, J.J. Guccione, Theory of braided Hopf crossed products, J. Algebra 261 (2003) 54-101]. First we show that to have an H-braided comodule algebra is the same that to have an H†-braided module algebra, where H† is a variant of H*, and then we study the maps [,] and (,), that appear in the Morita context introduced in the above cited paper. © 2006.
Fil:Guccione, J.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Guccione, J.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fuente
J. Algebra 2007;307(2):727-768
Materia
Braided Hopf algebras
Crossed products
Galois extensions
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_00218693_v307_n2_p727_DaRocha
Acceder
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network_name_str Biblioteca Digital (UBA-FCEN)
spelling Braided module and comodule algebras, Galois extensions and elements of trace 1Da Rocha, M.Guccione, J.A.Guccione, J.J.Braided Hopf algebrasCrossed productsGalois extensionsLet k be a field and let H be a rigid braided Hopf k-algebra. In this paper we continue the study of the theory of braided Hopf crossed products began in [J.A. Guccione, J.J. Guccione, Theory of braided Hopf crossed products, J. Algebra 261 (2003) 54-101]. First we show that to have an H-braided comodule algebra is the same that to have an H†-braided module algebra, where H† is a variant of H*, and then we study the maps [,] and (,), that appear in the Morita context introduced in the above cited paper. © 2006.Fil:Guccione, J.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.Fil:Guccione, J.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2007info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_00218693_v307_n2_p727_DaRochaJ. Algebra 2007;307(2):727-768reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-11-06T09:39:54Zpaperaa:paper_00218693_v307_n2_p727_DaRochaInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-11-06 09:39:55.806Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Braided module and comodule algebras, Galois extensions and elements of trace 1
title Braided module and comodule algebras, Galois extensions and elements of trace 1
spellingShingle Braided module and comodule algebras, Galois extensions and elements of trace 1
Da Rocha, M.
Braided Hopf algebras
Crossed products
Galois extensions
title_short Braided module and comodule algebras, Galois extensions and elements of trace 1
title_full Braided module and comodule algebras, Galois extensions and elements of trace 1
title_fullStr Braided module and comodule algebras, Galois extensions and elements of trace 1
title_full_unstemmed Braided module and comodule algebras, Galois extensions and elements of trace 1
title_sort Braided module and comodule algebras, Galois extensions and elements of trace 1
dc.creator.none.fl_str_mv Da Rocha, M.
Guccione, J.A.
Guccione, J.J.
author Da Rocha, M.
author_facet Da Rocha, M.
Guccione, J.A.
Guccione, J.J.
author_role author
author2 Guccione, J.A.
Guccione, J.J.
author2_role author
author
dc.subject.none.fl_str_mv Braided Hopf algebras
Crossed products
Galois extensions
topic Braided Hopf algebras
Crossed products
Galois extensions
dc.description.none.fl_txt_mv Let k be a field and let H be a rigid braided Hopf k-algebra. In this paper we continue the study of the theory of braided Hopf crossed products began in [J.A. Guccione, J.J. Guccione, Theory of braided Hopf crossed products, J. Algebra 261 (2003) 54-101]. First we show that to have an H-braided comodule algebra is the same that to have an H†-braided module algebra, where H† is a variant of H*, and then we study the maps [,] and (,), that appear in the Morita context introduced in the above cited paper. © 2006.
Fil:Guccione, J.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Guccione, J.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
description Let k be a field and let H be a rigid braided Hopf k-algebra. In this paper we continue the study of the theory of braided Hopf crossed products began in [J.A. Guccione, J.J. Guccione, Theory of braided Hopf crossed products, J. Algebra 261 (2003) 54-101]. First we show that to have an H-braided comodule algebra is the same that to have an H†-braided module algebra, where H† is a variant of H*, and then we study the maps [,] and (,), that appear in the Morita context introduced in the above cited paper. © 2006.
publishDate 2007
dc.date.none.fl_str_mv 2007
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.12110/paper_00218693_v307_n2_p727_DaRocha
url http://hdl.handle.net/20.500.12110/paper_00218693_v307_n2_p727_DaRocha
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
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eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv J. Algebra 2007;307(2):727-768
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
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score 12.976206

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