格蕴涵代数的LI-理想空间

数学季刊 ›› 2007, Vol. 22 ›› Issue (4): 504-511.

格蕴涵代数的LI-理想空间

1.School of Electrical Engineering,Zhengzhou University,Zhengzhou 450001,China;2.Institute of Data & Knowledge Engineering,Henan University,Kaifeng 475001,China;3.Department of Mathematics,Southwest Jiaotong University,Chengdu 610031,China

收稿日期:2005-03-29 出版日期:2007-12-30 发布日期:2023-10-19
作者简介:CHEN Shu-wei(1977-), male, native of Xinxiang, Henan, a lecturer of Zhengzhou University, Ph.D., engages in logical algebra and intelligent control.
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)；

LI-ideal Spaces of Lattice Implication Algebra

1.School of Electrical Engineering,Zhengzhou University,Zhengzhou 450001,China;2.Institute of Data & Knowledge Engineering,Henan University,Kaifeng 475001,China;3.Department of Mathematics,Southwest Jiaotong University,Chengdu 610031,China

Received:2005-03-29 Online:2007-12-30 Published:2023-10-19
About author:CHEN Shu-wei(1977-), male, native of Xinxiang, Henan, a lecturer of Zhengzhou University, Ph.D., engages in logical algebra and intelligent control.
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： In this paper,a topological space based on LI-ideals of a lattice implication algebra is constructed,and its topological properties,such as separability,compactness and connectedness are discussed.

关键词: lattice implication algebra, LI-ideal, topological space, topological properties

Abstract: In this paper,a topological space based on LI-ideals of a lattice implication algebra is constructed,and its topological properties,such as separability,compactness and connectedness are discussed.

Key words: lattice implication algebra, LI-ideal, topological space, topological properties

中图分类号:

O159

陈树伟, 姜保庆, 杨晓伟. 格蕴涵代数的LI-理想空间[J]. 数学季刊, 2007, 22(4): 504-511.

CHEN Shu-wei, JIANG Bao-qing, YANG Xiao-wei. LI-ideal Spaces of Lattice Implication Algebra[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(4): 504-511.

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