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http://dx.doi.org/10.4134/BKMS.2013.50.6.1855

ON THE WEAK ARTINIANNESS AND MINIMAX GENERALIZED LOCAL COHOMOLOGY MODULES  

Gu, Yan (Department of Mathematics Soochow University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.6, 2013 , pp. 1855-1861 More about this Journal
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 $H^i_I(M,N)$ 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.
Keywords
generalized local cohomology modules; weak Artinianness; minimax module;
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Times Cited By KSCI : 1  (Citation Analysis)
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