Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions

Autores
Herscovich, E.; Solotar, A.
Año de publicación
2007
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this article we prove derived invariance of Hochschild-Mitchell homology and cohomology and we extend to k-linear categories a result by Barot and Lenzing concerning derived equivalences and one-point extensions. We also prove the existence of a long exact sequence à la Happel and we give a generalization of this result which provides an alternative approach. © 2007 Elsevier Inc. All rights reserved.
Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fuente
J. Algebra 2007;315(2):852-873
Materia
Derived equivalence
Hochschild-Mitchell cohomology
k-Category
One-point extension
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_00218693_v315_n2_p852_Herscovich
Acceder
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oai_identifier_str paperaa:paper_00218693_v315_n2_p852_Herscovich
network_acronym_str BDUBAFCEN
repository_id_str 1896
network_name_str Biblioteca Digital (UBA-FCEN)
spelling Derived invariance of Hochschild-Mitchell (co)homology and one-point extensionsHerscovich, E.Solotar, A.Derived equivalenceHochschild-Mitchell cohomologyk-CategoryOne-point extensionIn this article we prove derived invariance of Hochschild-Mitchell homology and cohomology and we extend to k-linear categories a result by Barot and Lenzing concerning derived equivalences and one-point extensions. We also prove the existence of a long exact sequence à la Happel and we give a generalization of this result which provides an alternative approach. © 2007 Elsevier Inc. All rights reserved.Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2007info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_00218693_v315_n2_p852_HerscovichJ. Algebra 2007;315(2):852-873reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-10-23T11:18:34Zpaperaa:paper_00218693_v315_n2_p852_HerscovichInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-10-23 11:18:36.193Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions
title Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions
spellingShingle Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions
Herscovich, E.
Derived equivalence
Hochschild-Mitchell cohomology
k-Category
One-point extension
title_short Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions
title_full Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions
title_fullStr Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions
title_full_unstemmed Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions
title_sort Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions
dc.creator.none.fl_str_mv Herscovich, E.
Solotar, A.
author Herscovich, E.
author_facet Herscovich, E.
Solotar, A.
author_role author
author2 Solotar, A.
author2_role author
dc.subject.none.fl_str_mv Derived equivalence
Hochschild-Mitchell cohomology
k-Category
One-point extension
topic Derived equivalence
Hochschild-Mitchell cohomology
k-Category
One-point extension
dc.description.none.fl_txt_mv In this article we prove derived invariance of Hochschild-Mitchell homology and cohomology and we extend to k-linear categories a result by Barot and Lenzing concerning derived equivalences and one-point extensions. We also prove the existence of a long exact sequence à la Happel and we give a generalization of this result which provides an alternative approach. © 2007 Elsevier Inc. All rights reserved.
Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
description In this article we prove derived invariance of Hochschild-Mitchell homology and cohomology and we extend to k-linear categories a result by Barot and Lenzing concerning derived equivalences and one-point extensions. We also prove the existence of a long exact sequence à la Happel and we give a generalization of this result which provides an alternative approach. © 2007 Elsevier Inc. All rights reserved.
publishDate 2007
dc.date.none.fl_str_mv 2007
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/20.500.12110/paper_00218693_v315_n2_p852_Herscovich
url http://hdl.handle.net/20.500.12110/paper_00218693_v315_n2_p852_Herscovich
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv J. Algebra 2007;315(2):852-873
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
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score 12.982451

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