拓扑分子格的直和及其性质  

Direct Sum of Topological Molecular Lattices and It's Properties

作　　者：苏淑华[1] 许兆龙[1] 许志军[1] 

机构地区：[1]东华理工大学数学与信息科学学院,江西抚州344000

出　　处：《东华理工大学学报（自然科学版）》2008年第3期298-300,共3页Journal of East China University of Technology(Natural Science)

基　　金：东华理工学院院长基金资助项目(DHYK0614)

摘　　要：拓扑分子格是一种重要的格上拓扑的形式,已有一些文章中研究了拓扑分子格的分离性(ST分离性)、紧性(s紧性)及紧化(s紧化)等性质,一族拓扑分子格的乘积拓扑是一种重要的格上拓扑,研究它的性质有重要的理论意义与应用价值。文章给出了一族对称拓扑分子格的直和概念,给出了对称拓扑分子格的直和的特征,证明了对称拓扑分子格的分离性Ti(i=-1,0,1,2)及可数性CI,CII是可和性质。Topological Molecular Lattices is a important form of topology on lattices. Separation（ ST separation）, compactness （s-compactness） and compactification （s-compactification） etc of topological molecular lattices have been research in some papers. Product topology of a family of topological molecular lattices is a important topology on lattices. It exist important theory meaning and apply values that researching it＇ s properties. In this paper concepts of direct sum of symmetric topological molecular lattices are given. Characterizations of direct sum of symmetric topological molecular lattices are given. It is proved that separation Ti （ i =- 1,0,1,2 ） and countability CI, CII on symmetric ＇topological molecular lattices are summable properties.

关 键 词：对称拓扑分子格 对称拓扑分子格的直和 分离性 可数性 

分 类 号：O189[理学—数学] O153.1[理学—基础数学]