| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4598219 | Journal of Pure and Applied Algebra | 2007 | 11 Pages |
Abstract
Let RR be a commutative Noetherian ring of Krull dimension dd, and let aa be an ideal of RR. In this paper, we will study the strong cotorsioness and the Gorenstein injectivity of the section functor Γa(−)Γa(−) 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 Γa(−)Γa(−) and the functors Had(−) on the Auslander and Bass classes.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Reza Sazeedeh,