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