Modules with Finite Cousin Cohomologies Have Uniform Local Cohomological Annihilators

Details Modules with Finite Cousin Cohomologies Have Uniform Local Cohomological Annihilators Modules with Finite Cousin Cohomologies Have Uniform Local Cohomological Annihilators

2007-12-05

arxiv.org/abs/0712.0665v1

Mathematics

Commutative Algebra

9 pages, to appear in Journal of Algebra

Scientific paper

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 (S_2) which is over a local ring with Cohen--Macaulay formal fibres.

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