%0 Journal Article %T Extension functors of local cohomology modules %J Bulletin of the Iranian Mathematical Society %I Iranian Mathematical Society (IMS) %Z 1017-060X %A Aghapournahr, M. %A Taherizadeh, A. %A Vahidi, A. %D 2011 %\ 09/15/2011 %V 37 %N No. 3 %P 117-134 %! Extension functors of local cohomology modules %K Local cohomology modules %K Serre subcategories %K cofinite modules %R %X 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. %U http://bims.iranjournals.ir/article_354_a36964c381b38b75e5e066579630220a.pdf