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Finiteness Properties of Duals of Local Cohomology Modules
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hellus, Michael |
| Copyright Year | 2006 |
| Abstract | We investigate Matlis duals of local cohomology modules and prove that, in general, their zeroth Bass number with respect to the zero ideal is not finite. We also prove that, somewhat surprisingly, if we apply local cohomology again (i.e., to the Matlis dual of the local cohomology module), we get (under certain hypotheses) either zero or E, an R-injective hull of the residue field of the local ring R. |
| Starting Page | 3590 |
| Ending Page | 3602 |
| Page Count | 13 |
| File Format | PDF HTM / HTML |
| DOI | 10.1080/00927870701512069 |
| Volume Number | 35 |
| Alternate Webpage(s) | https://export.arxiv.org/pdf/math/0607080 |
| Alternate Webpage(s) | https://arxiv.org/pdf/math/0607080v1.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0607080v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1080/00927870701512069 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
