ON THE ASSOCIATED PRIME IDEALS OF LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2016, Vol 36, Issue 1
Abstract
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(Extn R(R/I, M)) and SuppR(ExtiR(R/I, Hj I,J(M))) are finite for all i ≤ n + 1 and all j < n, then so is AssR(HomR(R/I, HnI,J(M))). We also study the finiteness of AssR(ExtiR(R/I, HnI,J (M))) for i = 1, 2.
Authors and Affiliations
Maryam Jahangiri, Zohreh Habibi, Khadijeh Ahmadi Amoli
Keywords
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