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ON THE NOETHERIAN DIMENSION OF LOCAL COHOMOLOGY MODULES
Keywords:
local cohomology modules, top local cohomology modules, Noetherian dimension, Artinian module.DOI:
https://doi.org/10.17654/0972087123015Abstract
In this note, we first obtain some bounds for Noetherian dimension of Artinian local cohomology modules with respect to an ideal, in the cases of small levels. Secondly, in the case of top local cohomology modules, some bounds of Noetherian dimension for such modules are given.
Received: April 24, 2023
Revised: June 16, 2023
Accepted: July 6, 2023
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