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.
Aghapournahr, M., Taherizadeh, A., & Vahidi, A. (2011). Extension functors of local cohomology modules. Bulletin of the Iranian Mathematical Society, 37(No. 3), 117-134.
MLA
M. Aghapournahr; A. Taherizadeh; A. Vahidi. "Extension functors of local cohomology modules". Bulletin of the Iranian Mathematical Society, 37, No. 3, 2011, 117-134.
HARVARD
Aghapournahr, M., Taherizadeh, A., Vahidi, A. (2011). 'Extension functors of local cohomology modules', Bulletin of the Iranian Mathematical Society, 37(No. 3), pp. 117-134.
VANCOUVER
Aghapournahr, M., Taherizadeh, A., Vahidi, A. Extension functors of local cohomology modules. Bulletin of the Iranian Mathematical Society, 2011; 37(No. 3): 117-134.
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