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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| Autores principales: | , |
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| Formato: | Artículo publishedVersion |
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2007
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| 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 |
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| Sumario: | 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. |
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