Some Researches of Poset Category

This paper introduces some concepts,such as the concept of the relation,relation matrix,etc.It focuses on the discussions of the poset,the corresponding poset category and poset matrix and describes the initial object,terminal object and zero object,the product category of poset categories.Then it gives the relationship of the corresponding poset matrix,i.e.the poset matrix of the product categories identifies with the tensor product of two original poset matrixes and discusses the relations of the corresponding posets of two equivalent poset categories.