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 Happel long exact sequence and we give a generalization of this result which provides an alternative approach.
17 pages

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K-Theory and Homology, Rings and Algebras, 16E40, 18E05, 18E30, 16E40, 18E05, 18E30, 16D90

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http://salesiana.dossiersoluciones.com/handle/123456789/115464

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608444
 http://arxiv.org/abs/math/0608444

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arXiv