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Paper IPM / M / 8549  


Abstract:  
Let \fraka be an ideal of a ddimensional Gorenstein ring
R and let M be an Rmodule of finite projective dimension.
In this paper, among the other things, we show that, for every
Rmodule N, the Gorenstein injective dimension of generalized
local cohomology module H_{\frak}a^{d}(M, N) is less than or
equal to the projective dimension M. This implies that, for
every Rmodule N, the top ordinary local cohomology module
H_{\frak}a^{d}(N) is Gorenstein injective. Also, we obtain some
vanishing results for generalized local cohomology modules.
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