## “School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

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.

Download TeX format
back to top
scroll left or right