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|Paper IPM / M / 8549||
Let \fraka be an ideal of a d-dimensional Gorenstein ring
R and let M be an R-module of finite projective dimension.
In this paper, among the other things, we show that, for every
R-module N, the Gorenstein injective dimension of generalized
local cohomology module H\frakad(M, N) is less than or
equal to the projective dimension M. This implies that, for
every R-module N, the top ordinary local cohomology module
H\frakad(N) is Gorenstein injective. Also, we obtain some
vanishing results for generalized local cohomology modules.
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