The Direct Product of Graded Finite Posets  

作　　者：LIU Wei CHEN Shu-wei JIANG Bao-qing 

机构地区：[1]Institute of Data and Knowledge Engineering, Henan University, Kaifeng 475001, China [2]Department of Basic Science, Henan Industry and Trade Professional College,Zhengzhou 450012, China [3]School of Electrical Engineering, Zhengzhou University, Zhengzhou 450001, China

出　　处：《Chinese Quarterly Journal of Mathematics》2008年第3期430-436,共7页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China（60474022）; Supported by the Henan Innovation Project for University Prominent Research Talents（2007KYCX018）

摘　　要：A new concept Graded Finite Poset is proposed in this paper. Through discussing some basic properties of it, we come to that the direct product of graded finite posets is connected if and only if every graded finite poset is connected. The graded function of a graded finite poset is unique if and only if the graded finite poset is connected.

关 键 词：Graded poset graded finite poset graded function direct product connected post 

分 类 号：O153[理学—数学]