数学
局部上同调
纯数学
上同调
域代数上的
有限生成交换群
标识
DOI:10.1080/00927872.2022.2117369
摘要
This paper investigates when local cohomology modules have an annihilator that does not depend on the choice of an ideal. Takahashi classified the dominant resolving subcategories of the category of finitely generated modules over a commutative Noetherian ring. We show that his classification theorem describes annihilation results of local cohomology modules over a finite-dimensional ring with certain assumptions or a Cohen-Macaulay ring.
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