摘要
讨论Z-代数格,Z-代数交结构以及Z-代数闭包算子之间的关系,得到了格L上的Z-代数闭包算子与带顶元的Z-代数交结构之间存在一一对应关系,并且每一个Z-代数格都与带顶元的Z-代数交结构同构。
In this paper, some relations between Z-algebraic lattices, Z-algebraic intersection structures and Z-algebraic closure operators are investigated. It is obtained that the relationship between Z-algebraic closure operators and topped Z-algebraic intersection structures on L is a bijective one and that every Z-algebraic lattice L is isomorphic to a topped Z-algebraic intersection structure on L.
出处
《模糊系统与数学》
CSCD
北大核心
2008年第3期54-57,共4页
Fuzzy Systems and Mathematics
基金
国家自然基金资助项目(10471035)
教育部博士点基金资助项目(2004194)
湖南省自然科学基金资助项目(06JJ20041)
关键词
Z-代数闭包算子
Z-代数交结构
Z-代数格
Z-紧元
Z-algebraic Closure Operators Z-algebraic Intersection Structures Z-algebraic Lattices Z-compact Elements