Artinianness of local cohomology modules
Moharram Aghapournahr, Leif Melkersson

TL;DR
This paper establishes general theorems on when local cohomology modules are artinian, extending previous specific results and providing a broader understanding of their structure in noetherian rings.
Contribution
It introduces uniform theorems that determine the artinianness of local cohomology modules in a general setting, generalizing earlier graded case results.
Findings
Proves uniform criteria for artinianness of local cohomology modules.
Extends previous graded case results to a more general context.
Provides new insights into the structure of local cohomology modules.
Abstract
Let be a noetherian ring, an ideal of , and an --module. Some uniform theorems on the artinianness of certain local cohomology modules are proven in a general situation. They generalize and imply previous results about the artinianness of some special local cohomology modules in the graded case.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory
