On the associated prime ideals of local cohomology modules defined by a pair of ideals
Maryam Jahangiri ; Zohreh Habibi ; Khadijeh Ahmadi Amoli
Discussiones Mathematicae - General Algebra and Applications, Tome 36 (2016), p. 15-23 / Harvested from The Polish Digital Mathematics Library

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 AssR(ExtRn(R/I,M)) and SuppR(ExtRi(R/I,HI,Jj(M))) are finite for all i ≤ n+1 and all j < n, then so is AssR(HomR(R/I,HI,Jn(M))). We also study the finiteness of AssR(ExtRi(R/I,HI,Jn(M))) for i = 1,2.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:286935
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Maryam Jahangiri; Zohreh Habibi; Khadijeh Ahmadi Amoli. On the associated prime ideals of local cohomology modules defined by a pair of ideals. Discussiones Mathematicae - General Algebra and Applications, Tome 36 (2016) pp. 15-23. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1244/

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