Connected gradings and fundamental group

Autores
Cibils, Claude; Redondo, Maria Julia; Solotar, Andrea Leonor
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 group 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.
Fil: Cibils, Claude. Universite Montpellier II; Francia
Fil: Redondo, Maria Julia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Bahía Blanca. Instituto de Matemática Bahía Blanca (i); Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Solotar, Andrea Leonor. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
GRADING
GALOIS COVERINGS
FUNDAMENTAL GROUP
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/15466
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Connected gradings and fundamental groupCibils, ClaudeRedondo, Maria JuliaSolotar, Andrea LeonorGRADINGGALOIS COVERINGSFUNDAMENTAL GROUPhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The main purpose of this paper is to provide explicit computations of the fundamental group 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.Fil: Cibils, Claude. Universite Montpellier II; FranciaFil: Redondo, Maria Julia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Bahía Blanca. Instituto de Matemática Bahía Blanca (i); Argentina. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaFil: Solotar, Andrea Leonor. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaMathematical Science Publ2010-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/15466Cibils, Claude; Redondo, Maria Julia; Solotar, Andrea Leonor; Connected gradings and fundamental group; Mathematical Science Publ; Algebra and Number Theory; 4; 5; 6-2010; 625-6481937-06521944-7833enginfo:eu-repo/semantics/altIdentifier/url/http://msp.org/ant/2010/4-5/p05.xhtmlinfo:eu-repo/semantics/altIdentifier/doi/10.2140/ant.2010.4.625info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0906.3069?context=mathinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:01:52Zoai:ri.conicet.gov.ar:11336/15466instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:01:52.878CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Connected gradings and fundamental group
title Connected gradings and fundamental group
spellingShingle Connected gradings and fundamental group
Cibils, Claude
GRADING
GALOIS COVERINGS
FUNDAMENTAL GROUP
title_short Connected gradings and fundamental group
title_full Connected gradings and fundamental group
title_fullStr Connected gradings and fundamental group
title_full_unstemmed Connected gradings and fundamental group
title_sort Connected gradings and fundamental group
dc.creator.none.fl_str_mv Cibils, Claude
Redondo, Maria Julia
Solotar, Andrea Leonor
author Cibils, Claude
author_facet Cibils, Claude
Redondo, Maria Julia
Solotar, Andrea Leonor
author_role author
author2 Redondo, Maria Julia
Solotar, Andrea Leonor
author2_role author
author
dc.subject.none.fl_str_mv GRADING
GALOIS COVERINGS
FUNDAMENTAL GROUP
topic GRADING
GALOIS COVERINGS
FUNDAMENTAL GROUP
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The main purpose of this paper is to provide explicit computations of the fundamental group 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.
Fil: Cibils, Claude. Universite Montpellier II; Francia
Fil: Redondo, Maria Julia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Bahía Blanca. Instituto de Matemática Bahía Blanca (i); Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Solotar, Andrea Leonor. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description The main purpose of this paper is to provide explicit computations of the fundamental group 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.
publishDate 2010
dc.date.none.fl_str_mv 2010-06
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/11336/15466
Cibils, Claude; Redondo, Maria Julia; Solotar, Andrea Leonor; Connected gradings and fundamental group; Mathematical Science Publ; Algebra and Number Theory; 4; 5; 6-2010; 625-648
1937-0652
1944-7833
url http://hdl.handle.net/11336/15466
identifier_str_mv Cibils, Claude; Redondo, Maria Julia; Solotar, Andrea Leonor; Connected gradings and fundamental group; Mathematical Science Publ; Algebra and Number Theory; 4; 5; 6-2010; 625-648
1937-0652
1944-7833
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://msp.org/ant/2010/4-5/p05.xhtml
info:eu-repo/semantics/altIdentifier/doi/10.2140/ant.2010.4.625
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0906.3069?context=math
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Mathematical Science Publ
publisher.none.fl_str_mv Mathematical Science Publ
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.069144

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