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Paper   IPM / M / 8545
School of Mathematics
  Title:   Gorenstein injective, Gorenstein flat modules and the section functor
  Author(s):  R. Sazeedeh
  Status:   Published
  Journal: J. Pure Appl. Algebra
  Vol.:  211
  Year:  2007
  Pages:   773–783
  Supported by:  IPM
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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