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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.
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
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