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|Paper IPM / M / 8545||
Let R be a commutative Noetherian ring of Krull dimension d and let \fraka be an ideal of R.
In this paper we will study the strongly cotorsioness and the Gorenstein injectivity of the section functor Γ\fraka(−) in local cohomology. As applications we will find new characterizations for
Gorenstein and regular local rings. We also study the effect of the section functors Γ\fraka(−) and the functors Hd\fraka(−) on the Auslander and Bass classes.
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