The Direct Product of Graded Finite Posets

The Direct Product of Graded Finite Posets

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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.

作者 LIU Wei CHEN Shu-wei JIANG Bao-qing

机构地区 Institute of Data and Knowledge Engineering Department of Basic Science School of Electrical Engineering

出处《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 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）

关键词 Graded poset graded finite poset graded function direct product connected post 分层有限偏序集直积数学抽象代数

分类号 O153 [理学—基础数学]

作者简介 LIU Wei（1961- ）, male, native of Yanjin, Henan, a senior lecturer and vice principal of Henan Industry and Trade Professional College, engines in discrete mathematics and combinatorics.

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Chinese Quarterly Journal of Mathematics

2008年第3期

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The Direct Product of Graded Finite Posets

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