| In this paper we investigate some characterization of cartesian product semimodule generating and cogenerating in the category of semimodules. The paper have three parts.In the first section , the notion of cartesian product semimodules is introduced and we prove factor theorem of semimodules in this category.In the second section,we study some qualities of Cartesian product semimodules, on this basis this paper also has get five lemma of Cartesian product semimodules and its deduction.At last in the third section, we study the characterization of generating and cogenerating in the category of semimodules. |
