As a generalization of FI-C-modules,a concept of strong FI-C-modules(every fully invariant submodule of M has a fully invariant complement as a direct summand of M) was introduced,and its basic properties were discussed.
As a generalization of FI-C-modules,a concept of strong FI-C-modules(every fully invariant submodule of M has a fully invariant complement as a direct summand of M) was introduced,and its basic properties were discussed.
作为FI-C-模的推广,引入强FI-C-模(如果M的任意全不变子模存在一个全不变的补子模是M的直和因子),讨论该模的基本性质.