强极小内射模和强极小平坦模

Strong Minimal Injective Module and Strong Minimal Flat Module

引入了强极小内射模和强极小平坦模的概念,并且给出了它们一些等价命题及其性质,强极小内射模关于直积、直和项、模扩张封闭,强极小平坦模关于直积、直和项、模扩张、正向极限封闭。

In this paper, we first give the concept of the strong minimal injective module and the strong minimal flat module, and give some equivalent propositions and properties. The strong minimal injective module is closed module on the direct product, direct sum and the expansion of module. The strong minimal flat module is closed module on the direct product, direct sum, the expansion of module and direct limit.