We study the properties of filter-regular sequences, and obtain the equivalence characterizations on balanced big filter-modules in terms of cousin complex and local cohomology theory.

• 通过对 filter-正则元及 filter-正则序列的研究 ；利用 Cousin复形 ；局部上同调等一些用于研究banlanced big Cohen-Macaulay模的工具及思想方法 ；给出了关于 balanced big filter-模的一些等价刻划 .