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- Title
ON THE ASSOCIATED PRIME IDEALS OF LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS.
- Authors
JAHANGIRI, MARYAM; HABIBI, ZOHREH; AMOLI, KHADIJEH AHMADI
- 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(ExtnR(R/I,M)) and SuppR(ExtiR(R/I,HjI,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.
- Subjects
COHOMOLOGY theory; MODULES (Algebra); NOETHERIAN rings; INTEGERS; SET theory
- Publication
Discussiones Mathematicae: General Algebra & Applications, 2016, Vol 36, Issue 1, p15
- ISSN
1509-9415
- Publication type
Article
- DOI
10.7151/dmgaa.1244