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http://dx.doi.org/10.4134/BKMS.b200469

ON ARTINIANNESS OF GENERAL LOCAL COHOMOLOGY MODULES  

Tri, Nguyen Minh (Department of Natural Science Education Dong Nai University)
Publication Information
Bulletin of the Korean Mathematical Society / v.58, no.3, 2021 , pp. 689-698 More about this Journal
Abstract
In this paper, we show some results on the artinianness of local cohomology modules with respect to a system of ideals. If M is a 𝚽-minimax ZD-module, then Hdim M𝚽(M)/𝖆Hdim M𝚽(M) is artinian for all 𝖆 ∈ 𝚽. Moreover, if M is a 𝚽-minimax ZD-module, t is a non-negative integer and Hi𝚽(M) is minimax for all i > t, then Hi𝚽(M) is artinian for all i > t.
Keywords
Artinianness; local cohomology; system of ideals; ${\Phi}$-minimax; ZD-modules;
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