Hellus, Michael ; Schenzel, Peter
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| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Journal of Algebra |
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| Verlag: | ACADEMIC PRESS INC ELSEVIER SCIENCE |
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| Ort der Veröffentlichung: | SAN DIEGO |
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| Band: | 401 |
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| Seitenbereich: | S. 48-61 |
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| Datum: | 2014 |
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| Institutionen: | Mathematik |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1016/j.jalgebra.2013.12.006 | DOI |
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| Stichwörter / Keywords: | MODULES; Local cohomology; Complete intersections; Cohomological dimension |
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| Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
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| Status: | Veröffentlicht |
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| Begutachtet: | Ja, diese Version wurde begutachtet |
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| An der Universität Regensburg entstanden: | Ja |
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| Dokumenten-ID: | 61719 |
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Zusammenfassung
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 ...
Zusammenfassung
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.
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