On Gorenstein injectivity of top local cohomology modules

Yoshizawa, Takeshi

doi:10.1090/S0002-9939-2011-11059-1

On Gorenstein injectivity of top local cohomology modules
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Proc. Amer. Math. Soc. 140 (2012), 1897-1907 Request permission

Abstract:

R. Sazeedeh showed that top local cohomology modules are Gorenstein injective in a Gorenstein local ring with at most two dimensions. In this paper, it is proved that the condition of dimension in his result cannot be relaxed and the conclusion in his result holds for complete local hypersurface rings with any dimension.

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