Gorenstein injective, Gorenstein flat modules and the section functor

Let R be a commutative Noetherian ring of Krull dimension d, and let image be an ideal of R. In this paper, we will study the strong cotorsioness and the Gorenstein injectivity of the section functor image 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 image and the functors image on the Auslander and Bass classes.