具有有限Cousin上同调的模具有一致局部上同调零化子
Modules with Finite Cousin Cohomologies Have Uniform Local Cohomological Annihilators
摘要：
设A是诺特环.证明了任意具有有限Cousin复上同调的有限克鲁尔维数的A-模M存在一致的局部上同调零化子.对于满足（S_2）的有限模M，当M在具有Cohen-Macaulay形式纤维的局部环上时，上述逆定理也成立.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
