分層有限偏序集的直積

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： 劉煒 陳樹(shù)偉 姜保慶 LIU Wei CHEN Shu-we JIANG Bao-qing   作者單位： 劉煒,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)

陳樹(shù)偉,CHEN Shu-we(School of Electrical Engineering,Zhengzhou University,Zhengzhou 450001,China)

姜保慶,JIANG Bao-qing(Institute of Data and Knowledge Engineering,Henan University,Kaifeng 475001,China) 

刊 名： 數(shù)學(xué)季刊（英文版）  ISTIC PKU 英文刊名： CHINESE QUARTERLY JOURNAL OF MATHEMATICS  年，卷(期)： 2008 23(3)  分類號(hào)： O153  關(guān)鍵詞： Graded poset   graded finite poset   graded function   direct product   connected poset  

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