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

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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 gener...

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Autores principales:	Herscovich, E., Solotar, A.
Formato:	Artículo publishedVersion
Publicado:	2007
Materias:	Derived equivalence Hochschild-Mitchell cohomology k-Category One-point extension
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_00218693_v315_n2_p852_Herscovich https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v315_n2_p852_Herscovich_oai
Aporte de:	Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires

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spelling	I28-R145-paper_00218693_v315_n2_p852_Herscovich_oai2024-08-16 Herscovich, E. Solotar, A. 2007 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. application/pdf http://hdl.handle.net/20.500.12110/paper_00218693_v315_n2_p852_Herscovich info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Algebra 2007;315(2):852-873 Derived equivalence Hochschild-Mitchell cohomology k-Category One-point extension Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v315_n2_p852_Herscovich_oai
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-145
collection	Repositorio Digital de la Universidad de Buenos Aires (UBA)
topic	Derived equivalence Hochschild-Mitchell cohomology k-Category One-point extension
spellingShingle	Derived equivalence Hochschild-Mitchell cohomology k-Category One-point extension Herscovich, E. Solotar, A. Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions
topic_facet	Derived equivalence Hochschild-Mitchell cohomology k-Category One-point extension
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.
format	Artículo Artículo publishedVersion
author	Herscovich, E. Solotar, A.
author_facet	Herscovich, E. Solotar, A.
author_sort	Herscovich, E.
title	Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions
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
publishDate	2007
url	http://hdl.handle.net/20.500.12110/paper_00218693_v315_n2_p852_Herscovich https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v315_n2_p852_Herscovich_oai
work_keys_str_mv	AT herscoviche derivedinvarianceofhochschildmitchellcohomologyandonepointextensions AT solotara derivedinvarianceofhochschildmitchellcohomologyandonepointextensions
_version_	1809356867916267520

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

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