Representation dimension of cluster-concealed algebras
- Autores
- Gonzalez Chaio, Alfredo; Trepode, Sonia Elisabet
- Año de publicación
- 2013
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We prove that the representation dimension of a cluster-concealed algebra B is 3. We compute its representation dimension by showing an explicit Auslander generator for the cluster-tilted algebra.
Fil: Gonzalez Chaio, Alfredo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Fil: Trepode, Sonia Elisabet. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina - Materia
-
Auslander Generator
Cluster-Concealed
Cluster-Tilted Algebra
Representation Dimension - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/25365
Ver los metadatos del registro completo
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Representation dimension of cluster-concealed algebrasGonzalez Chaio, AlfredoTrepode, Sonia ElisabetAuslander GeneratorCluster-ConcealedCluster-Tilted AlgebraRepresentation Dimensionhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We prove that the representation dimension of a cluster-concealed algebra B is 3. We compute its representation dimension by showing an explicit Auslander generator for the cluster-tilted algebra.Fil: Gonzalez Chaio, Alfredo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaFil: Trepode, Sonia Elisabet. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaSpringer2013-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/25365Gonzalez Chaio, Alfredo; Trepode, Sonia Elisabet; Representation dimension of cluster-concealed algebras; Springer; Algebras and Representation Theory; 16; 4; 8-2013; 1001-10151386-923XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10468-012-9343-5info:eu-repo/semantics/altIdentifier/doi/10.1007/s10468-012-9343-5info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1102.1048info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:17:07Zoai:ri.conicet.gov.ar:11336/25365instacron: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:34982025-09-10 13:17:07.882CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Representation dimension of cluster-concealed algebras |
title |
Representation dimension of cluster-concealed algebras |
spellingShingle |
Representation dimension of cluster-concealed algebras Gonzalez Chaio, Alfredo Auslander Generator Cluster-Concealed Cluster-Tilted Algebra Representation Dimension |
title_short |
Representation dimension of cluster-concealed algebras |
title_full |
Representation dimension of cluster-concealed algebras |
title_fullStr |
Representation dimension of cluster-concealed algebras |
title_full_unstemmed |
Representation dimension of cluster-concealed algebras |
title_sort |
Representation dimension of cluster-concealed algebras |
dc.creator.none.fl_str_mv |
Gonzalez Chaio, Alfredo Trepode, Sonia Elisabet |
author |
Gonzalez Chaio, Alfredo |
author_facet |
Gonzalez Chaio, Alfredo Trepode, Sonia Elisabet |
author_role |
author |
author2 |
Trepode, Sonia Elisabet |
author2_role |
author |
dc.subject.none.fl_str_mv |
Auslander Generator Cluster-Concealed Cluster-Tilted Algebra Representation Dimension |
topic |
Auslander Generator Cluster-Concealed Cluster-Tilted Algebra Representation Dimension |
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 cluster-concealed algebra B is 3. We compute its representation dimension by showing an explicit Auslander generator for the cluster-tilted algebra. Fil: Gonzalez Chaio, Alfredo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina Fil: Trepode, Sonia Elisabet. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; 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 cluster-concealed algebra B is 3. We compute its representation dimension by showing an explicit Auslander generator for the cluster-tilted algebra. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-08 |
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/11336/25365 Gonzalez Chaio, Alfredo; Trepode, Sonia Elisabet; Representation dimension of cluster-concealed algebras; Springer; Algebras and Representation Theory; 16; 4; 8-2013; 1001-1015 1386-923X CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/25365 |
identifier_str_mv |
Gonzalez Chaio, Alfredo; Trepode, Sonia Elisabet; Representation dimension of cluster-concealed algebras; Springer; Algebras and Representation Theory; 16; 4; 8-2013; 1001-1015 1386-923X 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://link.springer.com/article/10.1007/s10468-012-9343-5 info:eu-repo/semantics/altIdentifier/doi/10.1007/s10468-012-9343-5 info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1102.1048 |
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 application/pdf |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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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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1842980936786903040 |
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12.993085 |