| In this paper, we discuss some property of projective semimodules,injective semimodules,flat semimodules and inverse limits of modules. This paper is divided into three parts.In the first section, we make a list of the basic definitions and propositions which are used in this paper.In the second section, on the base of [10] and [15], we prove that the tensor product of two projective semimodules are projective and the tensor product of two flat semimodules are flat, we prove thatâˆE Ejis injective if and only if every E jis injective, At last , we prove that E is injective and B is flat then Hom ( B , E ) is injective.In third section, we study the universal property of the inverse limits of modules and proved that the inverse limits is left exact. |
