@article {
author = {Aghapournahr, M. and Taherizadeh, A. and Vahidi, A.},
title = {Extension functors of local cohomology modules},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {37},
number = {No. 3},
pages = {117-134},
year = {2011},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Let $R$ be a commutative Noetherian ring with non-zero identity, $fa$ an ideal of $R$, and $X$ an $R$--module. Here, 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 the 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 the Serre cofiniteness as a generalization of cofiniteness and study this property for certain local cohomology modules.},
keywords = {Local cohomology modules,Serre subcategories,cofinite
modules},
url = {http://bims.iranjournals.ir/article_354.html},
eprint = {http://bims.iranjournals.ir/article_354_a36964c381b38b75e5e066579630220a.pdf}
}