On the weak Artinianness and minimax generalized local cohomology modules
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Let R be a commutative Noetherian ring, I an ideal of R, M and N two R-modules. We characterize the least integer i such that Hi I (M,N) is not weakly Artinian by using the notion of weakly filter regular sequences. Also, a local-global principle for minimax generalized local cohomology modules is shown and the result generalizes the corresponding result for local cohomology modules.
Abstract
Let R be a commutative Noetherian ring, I an ideal of R, M and N two R-modules. We characterize the least integer i such that Hi I (M,N) is not weakly Artinian by using the notion of weakly filter regular sequences. Also, a local-global principle for minimax generalized local cohomology modules is shown and the result generalizes the corresponding result for local cohomology modules.
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