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.
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
关键词
对称拓扑分子格
(强)半开元
正则开(闭)元
半正则化
symmetric topological molecular lattice
(strong)semiopen elemen t
regular open(closed)element
semiregularization
