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: JOUR
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
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_00218693_v315_n2_p852_Herscovich2023-10-03T14:21:25Z Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions Herscovich, E. Solotar, A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
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 JOUR
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
url http://hdl.handle.net/20.500.12110/paper_00218693_v315_n2_p852_Herscovich
work_keys_str_mv AT herscoviche derivedinvarianceofhochschildmitchellcohomologyandonepointextensions
AT solotara derivedinvarianceofhochschildmitchellcohomologyandonepointextensions
_version_ 1807316680736505856

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