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Attached primes and Matlis duals of local cohomology modules
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hellus, Michael |
| Copyright Year | 2006 |
| Abstract | Let J be an ideal of a noetherian local ring R. We show new results on the set of attached primes Att R (H l J (R)) of a local cohomology module H l J (R). To prove our results we establish and use new relations between the set Att R (H l J (R)) of attached primes of a local cohomology module and the set Ass R (D(H l J (R))) of associated primes of the Matlis dual of the same local cohomology module. The notions of attached primes and secondary decomposition of a module were developed by MacDonald [15]. Attached primes of local cohomology modules have been studied by MacDonald and Sharp. They proved ([16, theorem 2.2]) |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0604032v1.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
