LOCAL COHOMOLOGY MODULES WHICH ARE SUPPORTED ONLY AT FINITELY MANY MAXIMAL IDEALS

Title & Authors
LOCAL COHOMOLOGY MODULES WHICH ARE SUPPORTED ONLY AT FINITELY MANY MAXIMAL IDEALS
Hajikarimi, Alireza;

Abstract
Let a be an ideal of a commutative Noetherian ring R, M a finitely generated R-module and N a weakly Laskerian R-module. We show that if N has finite dimension d, then $\small{Ass_R(H^d_a(N))}$ consists of finitely many maximal ideals of R. Also, we find the least integer i, such that $\small{H^i_a}$(M, N) is not consisting of finitely many maximal ideals of R.
Keywords
associated prime ideals;generalized local cohomology modules;weakly Artinian modules;weakly Laskerian modules;
Language
English
Cited by
1.
ON THE WEAK ARTINIANNESS AND MINIMAX GENERALIZED LOCAL COHOMOLOGY MODULES,Gu, Yan;

대한수학회보, 2013. vol.50. 6, pp.1855-1861
1.
ON THE WEAK ARTINIANNESS AND MINIMAX GENERALIZED LOCAL COHOMOLOGY MODULES, Bulletin of the Korean Mathematical Society, 2013, 50, 6, 1855
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