摘要
引入了预导算子和预差导算子的概念,证明了对每个给定的集合X,可以给PD(X)(即X上预导算子的全体)和PDD(X)(即X上预差导算子的全体)上赋予适当的序≤使得(PD(X),≤)和(PDD(X),≤)是与(PT(X),)同构的完备格,这里PT(X)是X上预拓扑的全体。
The concepts of pre-derived operator and pre-difference derived operator were introduced. It was proved that, for a given set X, appropriate order relations ≤ can be defined on PD（X） （the set of all pre-derived operators on X） and PDD（X） （the set of all pre-difference derived operators on X）, respectively, such that both （PD（X）, ≤ ） and （PDD（X）, ≤ ） are complete lattices which are isomorphic to （PT（X）,包含） （the set of all pre-topologies on the set X）.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2007年第12期55-57,62,共4页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(10271069)
陕西师范大学研究生培养创新基金资助项目
关键词
预导算子
导算子
预差导算子
差导算子
预拓扑
完备格
pre-derived operater
derived operater
pre-difference derived operater
difference derived opemter
pre-topology
complete lattice
