The Direct Product of Graded Finite Posets

Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (3): 430-436.

The Direct Product of Graded Finite Posets

1. Institute of Data and Knowledge Engineering,Henan University 2. School of Electrical Engineering,Zhengzhou University

Received:2005-07-01 Online:2008-09-30 Published:2023-09-22
About author: 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.
Supported by:
Supported by the National Natural Science Foundation of China(60474022); Supported
by the Henan Innovation Project for University Prominent Research Talents(2007KYCX018)

Abstract

Abstract: 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.

Key words: Graded poset, graded finite poset, graded function, direct product, connected
poset

CLC Number:

O153.1

LIU Wei , CHEN Shu-wei , JIANG Bao-qing. The Direct Product of Graded Finite Posets [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(3): 430-436.

The Direct Product of Graded Finite Posets

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