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This paper investigates when local cohomology modules have an annihilatorthat does not depend on the choice of an ideal. Takahashi classified thedominant resolving subcategories of the category of finitely generated modulesover a commutative Noetherian ring. We show that his classification theoremdescribes annihilation results of local cohomology modules over afinite-dimensional ring with certain assumptions or a Cohen-Macaulay ring.

Annihilators of local cohomology modules via a classification theorem of the dominant resolving subcategories