On the associated prime ideals of local cohomology modules defined by a pair of ideals
Discussiones Mathematicae. General Algebra and Applications, Tome 36 (2016) no. 1, pp. 15-23

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Let I and J be two ideals of a commutative Noetherian ring R and M be an R-module. For a non-negative integer n it is shown that, if the sets Ass_R(Ext^n_R(R/I,M)) and Supp_R(Ext^i_R(R/I,H^j_I,J(M))) are finite for all i ≤ n+1 and all j n, then so is Ass_R(Hom_R(R/I,H^n_I,J(M))). We also study the finiteness of Ass_R(Ext^i_R(R/I,H^n_I,J(M))) for i = 1,2.
Keywords: local cohomology modules defined by a pair of ideals, spectral sequences, associated prime ideals
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Jahangiri, Maryam; Habibi, Zohreh; Amoli, Khadijeh. On the associated prime ideals of local cohomology modules defined by a pair of ideals. Discussiones Mathematicae. General Algebra and Applications, Tome 36 (2016) no. 1, pp. 15-23. http://geodesic.mathdoc.fr/item/DMGAA_2016_36_1_a1/