Modules with Finite Cousin Cohomologies Have Uniform Local Cohomological Annihilators
Abstract
Let A be a Noetherian ring. It is shown that any finite A--module M of finite Krull dimension with finite Cousin complex cohomologies has a uniform local cohomological annihilator. The converse is also true for a finite module M satisfying (S2) which is over a local ring with Cohen--Macaulay formal fibres.
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