Artinianness of local cohomology modules
DOI:
https://doi.org/10.17268/sel.mat.2026.01.11Keywords:
Local cohomology modules, Artinian modules, Noetherian ring, finitely generated moduleAbstract
Let R be a commutative Noetherian ring with non-zero identity and I an ideal of R. Let M be a finitely generated R-module. we some results about Artinianness of local cohomology module involving the concept of ZD-module. As applications, it is shown that the local cohomology module, under certain hypotheses, it has vanishing properties, and finite support properties.
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