Connected gradings and the fundamental group

Autores
Cibils, C.; Redondo, M.J.; Solotar, A.
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The main purpose of this paper is to provide explicit computations of the fundamental groups of several algebras. For this purpose, given a k-algebra A, we consider the category of all connected gradings of A by a group G and we study the relation between gradings and Galois coverings. This theoretical tool gives information about the fundamental group of A, which allows its computation using complete lists of gradings. © 2010 by Mathematical Sciences Publishers.
Fil:Redondo, M.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fuente
Algebra Number Theory 2010;4(5):625-648
Materia
Fundamental group
Galois covering
Grading
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_19370652_v4_n5_p625_Cibils
Acceder
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oai_identifier_str paperaa:paper_19370652_v4_n5_p625_Cibils
network_acronym_str BDUBAFCEN
repository_id_str 1896
network_name_str Biblioteca Digital (UBA-FCEN)
spelling Connected gradings and the fundamental groupCibils, C.Redondo, M.J.Solotar, A.Fundamental groupGalois coveringGradingThe main purpose of this paper is to provide explicit computations of the fundamental groups of several algebras. For this purpose, given a k-algebra A, we consider the category of all connected gradings of A by a group G and we study the relation between gradings and Galois coverings. This theoretical tool gives information about the fundamental group of A, which allows its computation using complete lists of gradings. © 2010 by Mathematical Sciences Publishers.Fil:Redondo, M.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2010info: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_19370652_v4_n5_p625_CibilsAlgebra Number Theory 2010;4(5):625-648reponame: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/ar2025-09-29T13:42:49Zpaperaa:paper_19370652_v4_n5_p625_CibilsInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-09-29 13:42:50.767Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Connected gradings and the fundamental group
title Connected gradings and the fundamental group
spellingShingle Connected gradings and the fundamental group
Cibils, C.
Fundamental group
Galois covering
Grading
title_short Connected gradings and the fundamental group
title_full Connected gradings and the fundamental group
title_fullStr Connected gradings and the fundamental group
title_full_unstemmed Connected gradings and the fundamental group
title_sort Connected gradings and the fundamental group
dc.creator.none.fl_str_mv Cibils, C.
Redondo, M.J.
Solotar, A.
author Cibils, C.
author_facet Cibils, C.
Redondo, M.J.
Solotar, A.
author_role author
author2 Redondo, M.J.
Solotar, A.
author2_role author
author
dc.subject.none.fl_str_mv Fundamental group
Galois covering
Grading
topic Fundamental group
Galois covering
Grading
dc.description.none.fl_txt_mv The main purpose of this paper is to provide explicit computations of the fundamental groups of several algebras. For this purpose, given a k-algebra A, we consider the category of all connected gradings of A by a group G and we study the relation between gradings and Galois coverings. This theoretical tool gives information about the fundamental group of A, which allows its computation using complete lists of gradings. © 2010 by Mathematical Sciences Publishers.
Fil:Redondo, M.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
description The main purpose of this paper is to provide explicit computations of the fundamental groups of several algebras. For this purpose, given a k-algebra A, we consider the category of all connected gradings of A by a group G and we study the relation between gradings and Galois coverings. This theoretical tool gives information about the fundamental group of A, which allows its computation using complete lists of gradings. © 2010 by Mathematical Sciences Publishers.
publishDate 2010
dc.date.none.fl_str_mv 2010
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_19370652_v4_n5_p625_Cibils
url http://hdl.handle.net/20.500.12110/paper_19370652_v4_n5_p625_Cibils
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
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 Algebra Number Theory 2010;4(5):625-648
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 13.069144

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