Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions
K-Theory and Homology
2007-05-23 v1 Rings and Algebras
Abstract
In this article we prove derived invariance of Hochschild-Mitchell homology and cohomology and we extend to -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.
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Cite
@article{arxiv.math/0608444,
title = {Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions},
author = {Estanislao Herscovich and Andrea Solotar},
journal= {arXiv preprint arXiv:math/0608444},
year = {2007}
}
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17 pages