Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions

JOURNAL OF ALGEBRA

卷:315

Article

Herscovich, Estanislao ; Solotar, Andrea

关键词: Hochschild-Mitchell cohomology;    k-category;    one-point extension;    derived equivalence;   

DOI  :  10.1016/j.jalgebra.2007.05.014

来源: Elsevier

【 摘 要 】

In this article we prove derived invariance of Hochschild-Mitchell hornology 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 a la Happel and we give a generalization of this result which provides an alternative approach. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free