The representation dimension of a Selfinjective Algebra of wild tilted type

Autores
Assem, Ibrahim; Skowronski, Andrzej; Trepode, Sonia Elisabet
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We prove that the representation dimension of a selfinjective algebra of wild tilted type is equal to three, and give an explicit construction of an Auslander generator of its module category. We also show that if a connected selfinjectivealgebra admits an acyclic generalised standard Auslander-Reiten component then its representation dimension is equal to three.
Fil: Assem, Ibrahim. Universite de Sherbrooke; Canadá
Fil: Skowronski, Andrzej. Nicolaus Copernicus University; Polonia
Fil: Trepode, Sonia Elisabet. Universidad Nacional de Mar del Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
selfinjective
representation dimension
Auslander generator
Galois covering
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:11336/43797
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/43797
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling The representation dimension of a Selfinjective Algebra of wild tilted typeAssem, IbrahimSkowronski, AndrzejTrepode, Sonia Elisabetselfinjectiverepresentation dimensionAuslander generatorGalois coveringhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We prove that the representation dimension of a selfinjective algebra of wild tilted type is equal to three, and give an explicit construction of an Auslander generator of its module category. We also show that if a connected selfinjectivealgebra admits an acyclic generalised standard Auslander-Reiten component then its representation dimension is equal to three.Fil: Assem, Ibrahim. Universite de Sherbrooke; CanadáFil: Skowronski, Andrzej. Nicolaus Copernicus University; PoloniaFil: Trepode, Sonia Elisabet. Universidad Nacional de Mar del Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAcademic Press Inc Elsevier Science2017-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/zipapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/43797Assem, Ibrahim; Skowronski, Andrzej; Trepode, Sonia Elisabet; The representation dimension of a Selfinjective Algebra of wild tilted type; Academic Press Inc Elsevier Science; Journal of Algebra; 477; 5-2017; 163-1940021-8693CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869316304719info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2016.12.010info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1607.00305info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T10:21:45Zoai:ri.conicet.gov.ar:11336/43797instacron: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:34982025-11-05 10:21:45.905CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The representation dimension of a Selfinjective Algebra of wild tilted type
title The representation dimension of a Selfinjective Algebra of wild tilted type
spellingShingle The representation dimension of a Selfinjective Algebra of wild tilted type
Assem, Ibrahim
selfinjective
representation dimension
Auslander generator
Galois covering
title_short The representation dimension of a Selfinjective Algebra of wild tilted type
title_full The representation dimension of a Selfinjective Algebra of wild tilted type
title_fullStr The representation dimension of a Selfinjective Algebra of wild tilted type
title_full_unstemmed The representation dimension of a Selfinjective Algebra of wild tilted type
title_sort The representation dimension of a Selfinjective Algebra of wild tilted 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 selfinjective
representation dimension
Auslander generator
Galois covering
topic selfinjective
representation dimension
Auslander generator
Galois covering
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 wild tilted type is equal to three, and give an explicit construction of an Auslander generator of its module category. We also show that if a connected selfinjectivealgebra admits an acyclic generalised standard Auslander-Reiten component then its representation dimension is equal to three.
Fil: Assem, Ibrahim. Universite de Sherbrooke; Canadá
Fil: Skowronski, Andrzej. Nicolaus Copernicus University; Polonia
Fil: Trepode, Sonia Elisabet. Universidad Nacional de Mar del Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We prove that the representation dimension of a selfinjective algebra of wild tilted type is equal to three, and give an explicit construction of an Auslander generator of its module category. We also show that if a connected selfinjectivealgebra admits an acyclic generalised standard Auslander-Reiten component then its representation dimension is equal to three.
publishDate 2017
dc.date.none.fl_str_mv 2017-05
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/11336/43797
Assem, Ibrahim; Skowronski, Andrzej; Trepode, Sonia Elisabet; The representation dimension of a Selfinjective Algebra of wild tilted type; Academic Press Inc Elsevier Science; Journal of Algebra; 477; 5-2017; 163-194
0021-8693
CONICET Digital
CONICET
url http://hdl.handle.net/11336/43797
identifier_str_mv Assem, Ibrahim; Skowronski, Andrzej; Trepode, Sonia Elisabet; The representation dimension of a Selfinjective Algebra of wild tilted type; Academic Press Inc Elsevier Science; Journal of Algebra; 477; 5-2017; 163-194
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/S0021869316304719
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2016.12.010
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1607.00305
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/zip
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
_version_ 1847977827771613184
score 13.121305

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