A note on the depth formula and vanishing of cohomology
Commutative Algebra
2012-04-19 v1
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.
Keywords
Cite
@article{arxiv.1204.4083,
title = {A note on the depth formula and vanishing of cohomology},
author = {Arash Sadeghi},
journal= {arXiv preprint arXiv:1204.4083},
year = {2012}
}
Comments
12 pages