Extension functors of local cohomology modules
| Autor: | Aghapournahr, M., Taherizadeh, A. J., Vahidi, A. |
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| Rok vydání: | 2009 |
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| Druh dokumentu: | Working Paper |
| Popis: | Let $R$ be a commutative Noetherian ring with non-zero identity, $\fa$ an ideal of $R$, and $X$ an $R$--module. In this paper, for fixed integers $s, t$ and a finite $\fa$--torsion $R$--module $N$, we first study the membership of $\Ext^{s+t}_{R}(N, X)$ and $\Ext^{s}_{R}(N, H^{t}_{\fa}(X))$ in Serre subcategories of the category of $R$--modules. Then we present some conditions which ensure the existence of an isomorphism between them. Finally, we introduce the concept of Serre cofiniteness as a generalization of cofiniteness and study this property for certain local cohomology modules. Comment: 12 pages |
| Databáze: | arXiv |
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