The representation dimension of a selfinjective algebra of euclidean type

Autores
Assem, Ibrahim; Skowronski, Andrzej; Trepode, Sonia Elisabet
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We prove that the representation dimension of a selfinjective algebra of euclidean type is equal to three, and give an explicit construction of the Auslander generator of its module category.
Fil: Assem, Ibrahim. University of Sherbrooke; Canadá
Fil: Skowronski, Andrzej. Nicolaus Copernicus University; Polonia
Fil: Trepode, Sonia Elisabet. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Materia
representation dimension
Auslander generator
aproximation
selfinjective
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:11336/92056
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/92056
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network_name_str CONICET Digital (CONICET)
spelling The representation dimension of a selfinjective algebra of euclidean typeAssem, IbrahimSkowronski, AndrzejTrepode, Sonia Elisabetrepresentation dimensionAuslander generatoraproximationselfinjectivehttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We prove that the representation dimension of a selfinjective algebra of euclidean type is equal to three, and give an explicit construction of the Auslander generator of its module category.Fil: Assem, Ibrahim. University of Sherbrooke; CanadáFil: Skowronski, Andrzej. Nicolaus Copernicus University; PoloniaFil: Trepode, Sonia Elisabet. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaAcademic Press Inc Elsevier Science2016-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/92056Assem, Ibrahim; Skowronski, Andrzej; Trepode, Sonia Elisabet; The representation dimension of a selfinjective algebra of euclidean type; Academic Press Inc Elsevier Science; Journal of Algebra; 459; 1; 8-2016; 157-1880021-8693CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869316300369info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2016.03.033info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:42:47Zoai:ri.conicet.gov.ar:11336/92056instacron: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 10:42:47.775CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The representation dimension of a selfinjective algebra of euclidean type
title The representation dimension of a selfinjective algebra of euclidean type
spellingShingle The representation dimension of a selfinjective algebra of euclidean type
Assem, Ibrahim
representation dimension
Auslander generator
aproximation
selfinjective
title_short The representation dimension of a selfinjective algebra of euclidean type
title_full The representation dimension of a selfinjective algebra of euclidean type
title_fullStr The representation dimension of a selfinjective algebra of euclidean type
title_full_unstemmed The representation dimension of a selfinjective algebra of euclidean type
title_sort The representation dimension of a selfinjective algebra of euclidean type
dc.creator.none.fl_str_mv Assem, Ibrahim
Skowronski, Andrzej
Trepode, Sonia Elisabet
author Assem, Ibrahim
author_facet Assem, Ibrahim
Skowronski, Andrzej
Trepode, Sonia Elisabet
author_role author
author2 Skowronski, Andrzej
Trepode, Sonia Elisabet
author2_role author
author
dc.subject.none.fl_str_mv representation dimension
Auslander generator
aproximation
selfinjective
topic representation dimension
Auslander generator
aproximation
selfinjective
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We prove that the representation dimension of a selfinjective algebra of euclidean type is equal to three, and give an explicit construction of the Auslander generator of its module category.
Fil: Assem, Ibrahim. University of Sherbrooke; Canadá
Fil: Skowronski, Andrzej. Nicolaus Copernicus University; Polonia
Fil: Trepode, Sonia Elisabet. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
description We prove that the representation dimension of a selfinjective algebra of euclidean type is equal to three, and give an explicit construction of the Auslander generator of its module category.
publishDate 2016
dc.date.none.fl_str_mv 2016-08
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/11336/92056
Assem, Ibrahim; Skowronski, Andrzej; Trepode, Sonia Elisabet; The representation dimension of a selfinjective algebra of euclidean type; Academic Press Inc Elsevier Science; Journal of Algebra; 459; 1; 8-2016; 157-188
0021-8693
CONICET Digital
CONICET
url http://hdl.handle.net/11336/92056
identifier_str_mv Assem, Ibrahim; Skowronski, Andrzej; Trepode, Sonia Elisabet; The representation dimension of a selfinjective algebra of euclidean type; Academic Press Inc Elsevier Science; Journal of Algebra; 459; 1; 8-2016; 157-188
0021-8693
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869316300369
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2016.03.033
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
dc.publisher.none.fl_str_mv Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
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 13.070432

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