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

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