On the Vanishing of Homology with Modules of Finite Length

نویسنده

  • PETTER ANDREAS BERGH
چکیده

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.

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تاریخ انتشار 2009