On the Vanishing of Homology with Modules of Finite Length

  • Petter Andreas Bergh

Abstract

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.
Published
2013-03-01
How to Cite
Bergh, P. A. (2013). On the Vanishing of Homology with Modules of Finite Length. MATHEMATICA SCANDINAVICA, 112(1), 11-18. https://doi.org/10.7146/math.scand.a-15230
Section
Articles