Z-代数格和Z-代数交结构  

Z-algebraic Lattices and Z-algebraic Intersection Structures

作　　者：李庆国[1] 李纪波[1] 

机构地区：[1]湖南大学数学与计量经济学院,湖南长沙410082

出　　处：《模糊系统与数学》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)

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.

关 键 词：Z-代数闭包算子 Z-代数交结构 Z-代数格 Z-紧元 

分 类 号：O153[理学—数学]