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arxiv: 0712.0665 · v1 · submitted 2007-12-05 · 🧮 math.AC

Modules with Finite Cousin Cohomologies Have Uniform Local Cohomological Annihilators

classification 🧮 math.AC
keywords finitelocalcohomologicalcohomologiescousinringuniforma--module
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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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