对称拓扑分子格的半正则化  

Semiregularization of Symmetric Topological Molecular Lattices

作　　者：艾为鸿 

机构地区：[1]抚州师专数计系,江西抚州344000

出　　处：《江西教育学院学报》2001年第6期15-18,共4页Journal of Jiangxi Institute of Education

摘　　要：设(L,η)是对称拓扑分子格,η是由(L,η)中正则闭元作为闭基所生成的余拓扑,则称(L,η)为(L,η)的半正则化。主要结果有:1°(L,η)是可数(弱)S-闭的当且仅当(L,η)是可数(弱)S-闭的;2°(L,η)是(弱)仿S-闭的当且仅当(L,η)是(弱)仿S-闭的;3°若(L,η)是可数强S-闭的,则(L,η)是可数强S-闭的。Let(L,η ) is a symmetric topological molecular lettice and η  is complement topology generated by a closed base consisting of regular closed elements in (L,η ),then (L,η  )is called a semiregularization of (L,η ).Mai n Results 1.(L,η ) is countable (weakly) S- closed iff (L,η  ) is countable (weakly)S- closed;2.(L,η ) is (weakly)Para- S- closed iff (L,η  )(weakly )Para- S- closed;3.If (L,η ) is countable strong S- closed,Then (L,η  ) i s countable strong S- closed.

关 键 词：对称拓扑分子格 (强)半开元 正则开(闭)元 半正则化 

分 类 号：O189[理学—数学] O153.1[理学—基础数学]