100 research outputs found
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 -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.Comment: 17 page
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