On m-cluster tilted algebras and trivial extensions

Autores
Fernández, Elsa Adriana; Pratti, Nilda Isabel; Trepode, Sonia Elisabet
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work we study the connection between iterated tilted algebras and m-cluster tilted algebras. We show that an iterated tilted algebra induces an m-cluster tilted algebra. This m-cluster tilted algebra can be seen as a trivial extension of another iterated tilted algebra which is derived equivalent to the original one. We give a procedure to find this new iterated tilted algebra. These m-cluster tilted algebras are quotients of higher relation extensions.
Fil: Fernández, Elsa Adriana. Universidad Nacional de la Patagonia; Argentina
Fil: Pratti, Nilda Isabel. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Trepode, Sonia Elisabet. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Tilting Complex
Relation Extension
M-Cluster Tilted Algebra
Iterated Tilted Algebra
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:11336/25131
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/25131
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On m-cluster tilted algebras and trivial extensionsFernández, Elsa AdrianaPratti, Nilda IsabelTrepode, Sonia ElisabetTilting ComplexRelation ExtensionM-Cluster Tilted AlgebraIterated Tilted Algebrahttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this work we study the connection between iterated tilted algebras and m-cluster tilted algebras. We show that an iterated tilted algebra induces an m-cluster tilted algebra. This m-cluster tilted algebra can be seen as a trivial extension of another iterated tilted algebra which is derived equivalent to the original one. We give a procedure to find this new iterated tilted algebra. These m-cluster tilted algebras are quotients of higher relation extensions.Fil: Fernández, Elsa Adriana. Universidad Nacional de la Patagonia; ArgentinaFil: Pratti, Nilda Isabel. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales; ArgentinaFil: Trepode, Sonia Elisabet. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAcademic Press Inc Elsevier Science2013-01info: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/11336/25131Fernández, Elsa Adriana; Pratti, Nilda Isabel; Trepode, Sonia Elisabet; On m-cluster tilted algebras and trivial extensions; Academic Press Inc Elsevier Science; Journal Of Algebra; 393; 1-2013; 132-1410021-8693CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2013.06.034info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0021869313003931info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T09:43:06Zoai:ri.conicet.gov.ar:11336/25131instacron: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 09:43:06.429CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On m-cluster tilted algebras and trivial extensions
title On m-cluster tilted algebras and trivial extensions
spellingShingle On m-cluster tilted algebras and trivial extensions
Fernández, Elsa Adriana
Tilting Complex
Relation Extension
M-Cluster Tilted Algebra
Iterated Tilted Algebra
title_short On m-cluster tilted algebras and trivial extensions
title_full On m-cluster tilted algebras and trivial extensions
title_fullStr On m-cluster tilted algebras and trivial extensions
title_full_unstemmed On m-cluster tilted algebras and trivial extensions
title_sort On m-cluster tilted algebras and trivial extensions
dc.creator.none.fl_str_mv Fernández, Elsa Adriana
Pratti, Nilda Isabel
Trepode, Sonia Elisabet
author Fernández, Elsa Adriana
author_facet Fernández, Elsa Adriana
Pratti, Nilda Isabel
Trepode, Sonia Elisabet
author_role author
author2 Pratti, Nilda Isabel
Trepode, Sonia Elisabet
author2_role author
author
dc.subject.none.fl_str_mv Tilting Complex
Relation Extension
M-Cluster Tilted Algebra
Iterated Tilted Algebra
topic Tilting Complex
Relation Extension
M-Cluster Tilted Algebra
Iterated Tilted Algebra
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this work we study the connection between iterated tilted algebras and m-cluster tilted algebras. We show that an iterated tilted algebra induces an m-cluster tilted algebra. This m-cluster tilted algebra can be seen as a trivial extension of another iterated tilted algebra which is derived equivalent to the original one. We give a procedure to find this new iterated tilted algebra. These m-cluster tilted algebras are quotients of higher relation extensions.
Fil: Fernández, Elsa Adriana. Universidad Nacional de la Patagonia; Argentina
Fil: Pratti, Nilda Isabel. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Trepode, Sonia Elisabet. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description In this work we study the connection between iterated tilted algebras and m-cluster tilted algebras. We show that an iterated tilted algebra induces an m-cluster tilted algebra. This m-cluster tilted algebra can be seen as a trivial extension of another iterated tilted algebra which is derived equivalent to the original one. We give a procedure to find this new iterated tilted algebra. These m-cluster tilted algebras are quotients of higher relation extensions.
publishDate 2013
dc.date.none.fl_str_mv 2013-01
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/11336/25131
Fernández, Elsa Adriana; Pratti, Nilda Isabel; Trepode, Sonia Elisabet; On m-cluster tilted algebras and trivial extensions; Academic Press Inc Elsevier Science; Journal Of Algebra; 393; 1-2013; 132-141
0021-8693
CONICET Digital
CONICET
url http://hdl.handle.net/11336/25131
identifier_str_mv Fernández, Elsa Adriana; Pratti, Nilda Isabel; Trepode, Sonia Elisabet; On m-cluster tilted algebras and trivial extensions; Academic Press Inc Elsevier Science; Journal Of Algebra; 393; 1-2013; 132-141
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/doi/10.1016/j.jalgebra.2013.06.034
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0021869313003931
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 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_ 1847977015947296768
score 13.121305

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