Hellus, Michael and Schenzel, Peter (2014) Notes on local cohomology and duality. JOURNAL OF ALGEBRA, 401. pp. 48-61. ISSN 0021-8693, 1090-266X
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We provide a formula (see Theorem 1.5) for the Matlis dual of the injective hull of R/p where p is a one dimensional prime ideal in a local complete Gorenstein domain (R, m). This is related to results of Enochs and Xu (see [4] and [5]). We prove a certain 'dual' version of the Hartshorne-Lichtenbaum vanishing (see Theorem 2.2). We prove a generalization of local duality to cohomologically complete intersection ideals I in the sense that for I = m we get back the classical Local Duality Theorem. We determine the exact class of modules to which a characterization of cohomologically complete intersection from [7] generalizes naturally (see Theorem 4.4). (C) 2013 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MODULES; Local cohomology; Complete intersections; Cohomological dimension |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 27 Nov 2019 09:32 |
| Last Modified: | 27 Nov 2019 09:32 |
| URI: | https://pred.uni-regensburg.de/id/eprint/10630 |
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