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A note on the depth formula and vanishing of cohomology

Published 18 Apr 2012 in math.AC | (1204.4083v1)

Abstract: It is proved that if one of the finite modules M and N, over a local ring R, has reducible complexity and has finite Gorenstein dimension then the depth formula holds, provided TorR_i(M,N) = 0 for i>>0. We also study the vanishing of cohomology of a module of finite complete intersection dimension.

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Authors (1)

  1. Arash Sadeghi 

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