分层有限偏序集的直积

数学季刊 ›› 2008, Vol. 23 ›› Issue (3): 430-436.

分层有限偏序集的直积

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

收稿日期:2005-07-01 出版日期:2008-09-30 发布日期:2023-09-22
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.
基金资助:
Supported by the National Natural Science Foundation of China(60474022); Supported
by the Henan Innovation Project for University Prominent Research Talents(2007KYCX018)

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)

摘要/Abstract

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.

关键词: Graded poset, graded finite poset, graded function, direct product, connected
poset

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

中图分类号:

O153.1

刘炜, 陈树伟, 姜保庆. 分层有限偏序集的直积[J]. 数学季刊, 2008, 23(3): 430-436.

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.

[1]	张光辉, 孙应德. 一类域上的线性变换环的群结构[J]. 数学季刊, 2005, 20(4): 355-359.
[2]	曾文艺, 米洪海 . On Direct Product of HX Groups[J]. 数学季刊, 1996, 11(4): 1-5.