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Resumen de On the Vanishing of Homology with Modules of Finite Length

Petter Andreas Bergh

  • 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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