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

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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Detalles Bibliográficos
Autor principal: Solotar, Andrea Leonor
Publicado: 2007
Materias:
Derived equivalence
Hochschild-Mitchell cohomology
k-Category
One-point extension
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v315_n2_p852_Herscovich
http://hdl.handle.net/20.500.12110/paper_00218693_v315_n2_p852_Herscovich
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00218693_v315_n2_p852_Herscovich
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spelling paper:paper_00218693_v315_n2_p852_Herscovich2023-06-08T14:42:23Z Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions Solotar, Andrea Leonor Derived equivalence Hochschild-Mitchell cohomology k-Category One-point extension 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. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v315_n2_p852_Herscovich http://hdl.handle.net/20.500.12110/paper_00218693_v315_n2_p852_Herscovich
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Derived equivalence
Hochschild-Mitchell cohomology
k-Category
One-point extension
spellingShingle Derived equivalence
Hochschild-Mitchell cohomology
k-Category
One-point extension
Solotar, Andrea Leonor
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.
author Solotar, Andrea Leonor
author_facet Solotar, Andrea Leonor
author_sort Solotar, Andrea Leonor
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v315_n2_p852_Herscovich
http://hdl.handle.net/20.500.12110/paper_00218693_v315_n2_p852_Herscovich
work_keys_str_mv AT solotarandrealeonor derivedinvarianceofhochschildmitchellcohomologyandonepointextensions
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