A note on the depth formula and vanishing of cohomology
classification
🧮 math.AC
keywords
finitecohomologydepthdimensionformulavanishingcompletecomplexity
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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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