Lattice Im plication Homom orphism inIm plication Filter Spaces

数学季刊 ›› 1998, Vol. 13 ›› Issue (4): 17-23.

Lattice Im plication Homom orphism inIm plication Filter Spaces

Department of Applied Mathematics，Southwest Jiaotong University，Chengdu，610031; Department of Mathematics，Henan University，Kaifeng，475001

收稿日期:1998-02-02 出版日期:1998-12-30 发布日期:2024-10-14
基金资助:
The work was partially supported by the National Natural Science Foundation of P．R．China wth GRant No．69674015
and 69774016．

Lattice Im plication Homom orphism inIm plication Filter Spaces

Department of Applied Mathematics，Southwest Jiaotong University，Chengdu，610031; Department of Mathematics，Henan University，Kaifeng，475001

Received:1998-02-02 Online:1998-12-30 Published:2024-10-14
Supported by:
The work was partially supported by the National Natural Science Foundation of P．R．China wth GRant No．69674015
and 69774016．

摘要/Abstract

摘要： In this paper，we investigate some special properties of lattice implication homomorphism in implication filter spaces．We show that lattice implication homomorphism is a continuous function with respect to implication filter topology．Moreover，we give a structural characterstic of left-translation topology and right-translation topology，which finally leads to the structural characteristics of product topology．

关键词: lattice implication homomorphism, implication filter spaces, implication filter topology

Abstract: In this paper，we investigate some special properties of lattice implication homomorphism in implication filter spaces．We show that lattice implication homomorphism is a continuous function with respect to implication filter topology．Moreover，we give a structural characterstic of left-translation topology and right-translation topology，which finally leads to the structural characteristics of product topology．

Key words: lattice implication homomorphism, implication filter spaces, implication filter topology

中图分类号:

O177

宋振明, 王建平 . Lattice Im plication Homom orphism inIm plication Filter Spaces[J]. 数学季刊, 1998, 13(4): 17-23.

Song Zhenming, Wang Jianping. Lattice Im plication Homom orphism inIm plication Filter Spaces[J]. Chinese Quarterly Journal of Mathematics, 1998, 13(4): 17-23.

[1]	王俊杰, 余洋, 胡建彪, 温芃. 图包含 (a,b) 奇偶因子的谱半径条件[J]. 数学季刊, 2024, 39(4): 431-440.
[2]	张雯雯, 李平润. 非齐次Riemann-Hilbert边值问题的求解[J]. 数学季刊, 2024, 39(3): 262-269.
[3]	李然, 连铁艳. 有关广义 (h,m)-预不变凸函数的Ostrowski型不等式及其应用[J]. 数学季刊, 2024, 39(3): 270-287.
[4]	陈玉磊, 郭东威. 涉及调和数的组合恒等式[J]. 数学季刊, 2024, 39(3): 307-314.
[5]	江东月, 唐忠华, 房少梅. 具有奇异势和一般非线性的伪抛物方程解的局部存在性和爆破[J]. 数学季刊, 2024, 39(2): 111-127.
[6]	辛欣, 谢博易, 刘科科. 基于半参数Copula学习的确定性独立筛选研究[J]. 数学季刊, 2024, 39(2): 144-160.
[7]	席维鸽, 许涛. 非正则赋权有向图 A_a谱半径的上界[J]. 数学季刊, 2024, 39(2): 161-170.
[8]	许云龙, 钟裕民. Bouw-M¨oler曲面的Minkowski常数[J]. 数学季刊, 2024, 39(2): 185-199.
[9]	关庄丹, 梁梦翔. 在复二维仿射锥上的完备余齐性一Kähler度量[J]. 数学季刊, 2024, 39(2): 200-220.
[10]	唐忠华, 房少梅. 带分数阶Robin边界条件的时间-空间分数阶扩散方程的有限差分方法[J]. 数学季刊, 2024, 39(1): 18-30.
[11]	洪勇, 赵茜. 两类加权空间间的积分算子与离散算子的有界性及算子范数估计[J]. 数学季刊, 2024, 39(1): 59-67.
[12]	王川, 乔炎. Korteweg-de Vries方程的Legendre时空谱配置方法[J]. 数学季刊, 2023, 38(4): 392-400.
[13]	许娜. 一类次线性基尔霍夫方程基态解的存在性[J]. 数学季刊, 2023, 38(4): 410-414.
[14]	杨亦松. 曲面上的曲率在理论物理中的一些应用[J]. 数学季刊, 2023, 38(3): 221-253.
[15]	徐晓濛. Stokes 现象与量子群的表示[J]. 数学季刊, 2023, 38(3): 311-330.

Lattice Im plication Homom orphism inIm plication Filter Spaces

Lattice Im plication Homom orphism inIm plication Filter Spaces

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价