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Paper   IPM / M / 8549
School of Mathematics
  Title:   Gorenstein injective dimension of generalized local cohomology modules
  Author(s):  K. Khashyarmanesh (Joint with A. Abbasi)
  Status:   To Appear
  Journal: Ital. J. pure Appl. Math.
  Supported by:  IPM
  Abstract:
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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