A note on the depth formula and vanishing of cohomology

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.

12 pages

Cited by in corpus (2)

• Vanishing of Tor, and why we care about it
• Bounds on depth of tensor products of modules