预拓扑分子格的确定  

Determinination of Pretopological Molecular Lattices

作　　者：许颖[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《内江师范学院学报》2008年第6期24-27,共4页Journal of Neijiang Normal University

摘　　要：在有逆序对合对应"′"的完备格(或称为DeMorgan代数)L上定义了开预拓扑、边界、伪内部算子和伪边界算子,并证明了L上的所有开预拓扑,所有伪内部算子和所有伪闭包算子构成了彼此同构的完备格.L上的所有伪边界算子和所有闭预拓扑是完全备格同构.Some notions, such as open pretopologies, boundaries, pseudo-interlor operators, pseudo-boundary operators, are defined on a complete lattice L which has orderreversing involution, called DeMorgan algebra. It is proved that the set of all open pretopologies, pseudo-interior operators and pseudo-closure operators on L are all complete lattices which are isomorphic to each other, the set of all pseudo-boundary operators and closed pretopologies on L are complete lattices which are isomorphic to each other.

关 键 词：开预拓扑 伪闭包算子 伪内部算子 伪边界算子 

分 类 号：O189.1[理学—数学]