Tilting modules and the subcategories CiM

Autores
Platzeck, Maria Ines; Pratti, Nilda Isabel
Año de publicación
2006
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this article we further study the full subcategories Ci M of the category of finitely generated modules over an Artin algebra introduced in Platzeck and Pratti (2000), consisting of the modules having an addM resolution of length i, which remains exact under the functor Hom A(M, -). In particular, we characterize tilting modules in terms of these categories and determine when the transpose of a tilting module is a tilting module.
Fil: Platzeck, Maria Ines. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Fil: Pratti, Nilda Isabel. Universidad Nacional de Mar del Plata; Argentina
Materia
category
module
tilting
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:11336/95366
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Tilting modules and the subcategories CiMPlatzeck, Maria InesPratti, Nilda Isabelcategorymoduletiltinghttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this article we further study the full subcategories Ci M of the category of finitely generated modules over an Artin algebra introduced in Platzeck and Pratti (2000), consisting of the modules having an addM resolution of length i, which remains exact under the functor Hom A(M, -). In particular, we characterize tilting modules in terms of these categories and determine when the transpose of a tilting module is a tilting module.Fil: Platzeck, Maria Ines. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaFil: Pratti, Nilda Isabel. Universidad Nacional de Mar del Plata; ArgentinaTaylor & Francis2006-09info: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/11336/95366Platzeck, Maria Ines; Pratti, Nilda Isabel; Tilting modules and the subcategories CiM; Taylor & Francis; Communications In Algebra; 34; 9; 9-2006; 3255-32660092-7872CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/abs/10.1080/00927870600778514info:eu-repo/semantics/altIdentifier/doi/10.1080/00927870600778514info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:49:50Zoai:ri.conicet.gov.ar:11336/95366instacron: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 09:49:50.745CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Tilting modules and the subcategories CiM
title Tilting modules and the subcategories CiM
spellingShingle Tilting modules and the subcategories CiM
Platzeck, Maria Ines
category
module
tilting
title_short Tilting modules and the subcategories CiM
title_full Tilting modules and the subcategories CiM
title_fullStr Tilting modules and the subcategories CiM
title_full_unstemmed Tilting modules and the subcategories CiM
title_sort Tilting modules and the subcategories CiM
dc.creator.none.fl_str_mv Platzeck, Maria Ines
Pratti, Nilda Isabel
author Platzeck, Maria Ines
author_facet Platzeck, Maria Ines
Pratti, Nilda Isabel
author_role author
author2 Pratti, Nilda Isabel
author2_role author
dc.subject.none.fl_str_mv category
module
tilting
topic category
module
tilting
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 article we further study the full subcategories Ci M of the category of finitely generated modules over an Artin algebra introduced in Platzeck and Pratti (2000), consisting of the modules having an addM resolution of length i, which remains exact under the functor Hom A(M, -). In particular, we characterize tilting modules in terms of these categories and determine when the transpose of a tilting module is a tilting module.
Fil: Platzeck, Maria Ines. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Fil: Pratti, Nilda Isabel. Universidad Nacional de Mar del Plata; Argentina
description In this article we further study the full subcategories Ci M of the category of finitely generated modules over an Artin algebra introduced in Platzeck and Pratti (2000), consisting of the modules having an addM resolution of length i, which remains exact under the functor Hom A(M, -). In particular, we characterize tilting modules in terms of these categories and determine when the transpose of a tilting module is a tilting module.
publishDate 2006
dc.date.none.fl_str_mv 2006-09
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/11336/95366
Platzeck, Maria Ines; Pratti, Nilda Isabel; Tilting modules and the subcategories CiM; Taylor & Francis; Communications In Algebra; 34; 9; 9-2006; 3255-3266
0092-7872
CONICET Digital
CONICET
url http://hdl.handle.net/11336/95366
identifier_str_mv Platzeck, Maria Ines; Pratti, Nilda Isabel; Tilting modules and the subcategories CiM; Taylor & Francis; Communications In Algebra; 34; 9; 9-2006; 3255-3266
0092-7872
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.tandfonline.com/doi/abs/10.1080/00927870600778514
info:eu-repo/semantics/altIdentifier/doi/10.1080/00927870600778514
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 Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
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_ 1844613540140285952
score 13.070432

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