摘要
引入了标准正交模格及正交模格的理想完备性的概念,证明了一类正交模格的滤子之集在某种拓扑之下构成一个Boolean空间.另外,从元素的成分出发,证明了正交模格中一元素的成分之集构成一个子模格.
The concepts of standard orthomodular lattice and ideal completeness of orthomodular lattices are introduced. It is proved that the set of filters of the orthomodular lattices forms a Boolean space under the structure of certain topolopy, and the set of components of any element forms a suborthomodular lattice.
出处
《昆明理工大学学报（理工版）》
CAS
2006年第6期118-121,共4页
Journal of Kunming University of Science and Technology(Natural Science Edition)
关键词
正交模格
理想
超滤子
成分
orthomodular lattice
ideal
ultrafilter
components
