分层有限偏序集的直积
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.
作 者： 刘炜 陈树伟 姜保庆 LIU Wei CHEN Shu-we JIANG Bao-qing 作者单位： 刘炜,LIU Wei(Institute of Data and Knowledge Engineering,Henan University,Kaifeng 475001,China;Department of Basic Science,Henan Industry and Trade Professional College,Zhengzhou 450012,China)陈树伟,CHEN Shu-we(School of Electrical Engineering,Zhengzhou University,Zhengzhou 450001,China)
姜保庆,JIANG Bao-qing(Institute of Data and Knowledge Engineering,Henan University,Kaifeng 475001,China)
刊 名： 数学季刊（英文版） ISTIC PKU 英文刊名： CHINESE QUARTERLY JOURNAL OF MATHEMATICS 年，卷(期)： 2008 23(3) 分类号： O153 关键词： Graded poset graded finite poset graded function direct product connected poset