Annihilators of local cohomology modules and restricted flat dimensions
Glenn Ando
TL;DR
This paper refines Yoshizawa's results on the annihilators of local cohomology modules and explores their connection to restricted flat dimensions, advancing understanding in commutative algebra.
Contribution
It provides a refined analysis of when local cohomology modules have ideal-independent annihilators and links this to restricted flat dimensions.
Findings
Characterization of annihilators independent of defining ideals
Relationship established between annihilators and restricted flat dimensions
Enhanced criteria for the existence of uniform annihilators
Abstract
Yoshizawa investigated when local cohomology modules have an annihilator that does not depend on the choice of the defining ideal. In this paper we refine his results and investigate the relationship between annihilators of local cohomology modules and restricted flat dimensions.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Rings, Modules, and Algebras