@article{Bergh_2013, title={On the Vanishing of Homology with Modules of Finite Length}, volume={112}, url={https://www.mscand.dk/article/view/15230}, DOI={10.7146/math.scand.a-15230}, abstractNote={We study the vanishing of homology and cohomology of a module of finite complete intersection dimension over a local ring. Given such a module of complexity $c$, we show that if $c$ (co)homology groups with a module of finite length vanish, then all higher (co)homology groups vanish.}, number={1}, journal={MATHEMATICA SCANDINAVICA}, author={Bergh, Petter Andreas}, year={2013}, month={Mar.}, pages={11–18} }