Torsion functors of local cohomology modules
Mohammad T. Dibaei, Alireza Vahidi
TL;DR
This paper investigates torsion functors of local cohomology modules to enhance understanding of their non-finiteness properties, especially for top non-zero modules related to an ideal.
Contribution
It provides new insights and improved results on the non-finiteness of top local cohomology modules via torsion functors.
Findings
Enhanced non-finiteness results for top local cohomology modules
Improved understanding of torsion functors in local cohomology
Refined conditions under which local cohomology modules are non-finite
Abstract
Through a study of torsion functors of local cohomology modules we improve some non-finiteness results on the top non-zero local cohomology modules with respect to an ideal.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory