This paper studies the character of balanced big filter-modules in terms of depthAM of a A-module Mand the homology modules of the cousin complexC(D(A),M), and discuss the exactness of complex C(D(A),M).

• 利用A-模M的深度depthAM以及Cousin复形C(D(A),M)的同调模对balancedbigfilter-模的特性进行了研究,并对C(D(A),M)的正合性进行了讨论。